RISC Publications and Technical Reports of research area 'Algebraic Geometry'
2022
B. J�ttler, N. Lubbes, J. Schicho.Projective isomorphisms between rational surfaces.J. Algebra54, pp. 112-125.2022. 0021-8693.[bib]
2020
Jose Capco, Claus Scheiderer. Two remarks on sums of squares with rational coefficients.Banach Center Publications121, pp. 25-36.2020.0137-6934.[doi][bib]
2018
Georg Grasegger, Alberto Lastra, J. Rafael Sendra, Franz Winkler.Rational General Solutions of Systems of First-Order Partial Differential Equations.Journal of Computational and Applied Mathematics331, pp. 88-103.2018.ISSN: 0377-0427.[bib]
A. Lin, M. Makhul, H. N. Mojarrad, J. Schicho, K. Swanepoel, F. de Zeeuw.On sets defining few ordinary circles.Discrete and Computational Geometry59, pp. 59-87.2018.0179-5376.[bib]
2017
M. Gallet, C. Koutschan, Z. Li, G. Regensburger, J. Schicho, N. Villamizar.Planar linkages following a prescribed motion.Math. Comp.87, pp. 473-506.2017.ISSN: 1088-6842.[url][bib]
Jose Capco, Georg Grasegger, Matteo Gallet, Christoph Koutschan, Niels Lubbes, Josef Schicho.The number of realizations of a Laman graph. Research Institute for Symbolic Computation (RISC/JKU). Technical report, 2017.[url][pdf][bib]
Jose Capco, Georg Grasegger, Matteo Gallet, Christoph Koutschan, Niels Lubbes, Josef Schicho.Computing the number of realizations of a Laman graph. In: Electronic Notes in Discrete Mathematics (Proceedings of Eurocomb 2017), Vadim Lozin (ed.), Proceedings of The European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB'17)61, pp. 207-213.2017.ISSN 1571-0653.[url][bib]
M. Gallet, G. Nawratil, J. Schicho, J. Selig.Mobile Icosapods.Adv. Appl. Math.88, pp. 1-25.2017.ISSN: 0196-8858.[doi][bib]
U. Hertrich-Jeromin, B. Jüttler, J. Schicho.New developments in geometry. Theory and applications.Comp. Aided Geom. Des.47, pp. 1-2.2017.ISSN: 0167-8396.[doi][bib]
M. Gallet, G. Nawratil, J. Schicho.Liaison linkages.J. Symb. Comp.79, pp. 65-98.2017.ISSN: 0747-7171.[doi][bib]
2016
Matteo Gallet.Algebraic Geometry methods in Kinematics: Mobile Pods. Johannes Kepler University. PhD Thesis.October2016.[bib]
Zijia Li, , J. Schicho, Hans-Peter Schröcker.The rational motion of minimal dual quaternion degree with prescribed trajectory.Comp. Aided Geom. Des.41, pp. 1-9.2016.ISSN: 0167-8396.[doi][bib]
Zijia Li , Josef Schicho, Hans-Peter Schröcker.A survey on the theory of bonds.IMA Journal of Mathematical Control and Information, pp. -.2016.ISSN: 1471-6887.online.[doi][bib]
G. Nawratil, J. Schicho.Duporcq pentapods.J. Mechanisms Robotics9, pp. -.2016.ISSN: 1942-4302.[url][bib]
2015
Josef Schicho, Matteo Gallet.Ambiguities in a Problem in Planar Geodesy.SIGMA(008), pp. 1-13.2015.1815-0659.[url][bib]
G. Hegedüs, Z. Li, J. Schicho, H.-P. Schroecker.The theory of bonds II: closed 6R linkages with maximal genus.J. Symb. Comp.68, pp. 167-180.2015.0747-7171.[bib]
H. Ahmadinezhad, Z. Li, J. Schicho.An algebraic study of linkages with helical joints.J. Pure and Appl. Algebra219, pp. 2245-2259.2015.0022-4049.[bib]
G. Nawratil, J. Schicho.Pentapods with Mobility 2.ASME Journnal of Mechanasms and RoboticsJ. Mechanisms Robotics, pp. -.2015.1942-4302.[bib]
Z. Li, J. Schicho.A technique for deriving equational conditions on the Denavit-Hartenberg parameters of a 6R linkage that are necessary for movability.Mech. Mach. Theory94, pp. 1-8.2015.0094-114X.[bib]
Z. Li, J. Schicho, H.-P. Schroecker.Spatial straight-line linkages by factorization of motion polynomials.J. Mechanisms Robotics, pp. -.2015.1942-4302.[bib]
Z. Li, , J. Schicho, H.-P. Schroecker.7R Darboux Linkages by Factorication of Motion Polynomials. In: Proc. IFToMM 14, S.-H. Chang et al (ed.), pp. 841-847.2015.978-986-04-6098-8.[bib]
Z. Li, , T. Rad, J. Schicho, H.-P. Schroecker.Factorization of Rational Motions: A Survey with Examples and Applications. In: Proc. IFToMM 14, S.-H. Chang et al. (ed.), pp. 833-840.2015.ISBN 978-986-04-6098-8.[bib]
2014
M. Gallet, G. Nawratil, J. Schicho.Bond theory for pentapods and hexapods.Journal of Geometry, pp. 1-18.2014.0047-2468.online first.[doi][pdf][bib]
M. Gallet, G. Nawratil, J. Schicho.Moebius photogrammetry.Journal of Geometry, pp. 1-19.2014.1420-8997.[doi][pdf][bib]
J. Schicho.A simplified game for resolution of singularities. In: The Resolution of Singular Algebraic Varieties, D. Ellwood and H. Hauser and S. Mori and J. Schicho (ed.), pp. 209-224.2014.Amer. Math. Soc.,ISBN 978-0-8218-8982-4.[bib]
J. Schicho, J. Top.Algebraic approaches to FlipIt. In: The Resolution of Singular Algebraic Varieties, D. Ellwood and H. Hauser and S. Mori and J. Schicho (ed.), pp. 319-326.2014.Amer. Math. Soc.,ISBN 978-0-8218-8982-4.[bib]
S. Di Rocco, J. Schicho.Foreword to the Special Issue on Computational Algebraic Geometry.Math. Comp. Sci.8, pp. 117-118.2014. ISSN: 1661-8270.[bib]
Z. Li, J. Schicho F. Thomas and A. P. Gracia.Three types of parallel linkages. In: Computational Kinematics, F. Thomas and A. P. Gracia (ed.), pp. 111-120.2014.Springer,ISBN: 978-94-007-7213-7.[bib]
J. Schicho, D. Sevilla.Tschirnhaus-Weierstrass curves.Math. Comp.83, pp. 3005-3015.2014. ISSN 0025-5718.[bib]
2013
M. Hodorog, J. Schicho.A Regularization Approach for Estimating the Type of a plane Curve Singularity.Theor. Comp. Sci.479, pp. 99-119.2013.0304-3975.[bib]
A. Dickenstein, S. Di Rocco, E. Hubert, J. Schicho (eds.).Effective Methods in Algebraic Geometry.J. Symb. Comp.151, pp. 1-114.2013.0747-7171.[bib]
G. Hegedüs, J. Schicho, H.-P. Schröcker.Factorization of Rational Curves in the Study Quadric and Revolute Linkages.Mech. Mach. Theory69(1), pp. 142-152.2013.0094-114X.[bib]
G. Hegedüs, J. Schicho, H.-P. Schröcker.The Theory of Bonds: A New Method for the Analysis of Linkages.Mech. Mach. Theory70, pp. 404-424.2013.0094-114X.[bib]
Z. Li, J. Schicho.Classification of angle-symmetric 6R linkages.Mech. Mach. Theory70, pp. 372-379.2013.0094-114X.[bib]
J. Schicho, F.-O. Schreyer, M. Weimann.Computational aspects of gonal maps.AAECC24, pp. 313-341.2013.0938-1279 .[bib]
2011
Madalina Hodorog.Symbolic-Numeric Algorithms for Plane Algebraic Curves. Research Institute for Symbolic Computation, Doctoral Program "Computational Mathematics". Technical report no. 11-14, PhD thesis, November2011.[pdf][bib]
M. Hodorog.Symbolic-Numeric Algorithms for Plane Algebraic Curves. Research Institute for Symbolic Computation (RISC), Doctoral Program "Computational Mathematics". PhD Thesis.November2011.RISC Technical Report 11-14.[pdf][bib]
M. Hodorog, B. Mourrain, J. Schicho.An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curve Singularities. In: Proceedings of the 11th International Conference on Computational Science and Its Applications, Part III, Session: Computational Geometry and Applications, B. Murgante et al. (ed.), Lecture Notes in Computer Science, pp. 121-131.2011.Springer, Heidelberg,978-3-642-21930-6.[pdf][bib]
M. Hodorog, J. Schicho.A Symbolic-Numeric Algorithm for Genus Computation. In: Numerical and Symbolic Scientific Computing: Progress and Prospects, U. Langer and P. Paule (ed.), pp. 65-95.2011.Springer Wien,0943-853X.[pdf][bib]
M. Hodorog, J. Schicho.A Regularization Method for Computing Approximate Invariants of Plane Curves Singularities. In: Proceedings of the 4th International Workshop on Symbolic-Numeric Computation, L. Zhi et al. (ed.), pp. ?-?.2011.ACM (Association for Computing Machinery),To appear.[pdf][bib]
2010
M. Hodorog, B. Mourrain, J. Schicho.A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity. In: Proceedings of the 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, T. Ida, V. Negru, T. Jebelean, D. Petcu, S. Watt, D. Zaharie (ed.), Proceedings of 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, September 23-26, Timisoara, Romania, pp. 21-28.2010.978-0-7695-4324-6.[pdf][bib]
2009
B. Moore.Dynamic balancing of linkages by algebraic methods. Technical report no. 09-06 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).PhD Thesis,April2009.[pdf][bib]
2008
S. Bouchard, C. M. Gosselin, B. Moore.On the ability of a cable-driven robot to generate a prescribed set of wrenches. In: Proc. of the ASME International Design Engineering Technical Conferences, Mechanics and Robotics Conference, . (ed.), pp. -.2008...[pdf][bib]
2007
B. Moore, J. Schicho, C. Gosselin.Determination of the complete set of statically balanced planar four-bar mechanisms. SFB F013. Technical report no. 2007-14, July2007.[pdf][bib]
B. Moore, J. Schicho, C.M. Gosselin.Dynamic balancing of planar mechanisms using toric geometry. SFB F013. Technical report no. 2007-28, 2007.[pdf][bib]
2006
Tobias Beck.Contributions to the Parametrization of Algebraic Varieties.. RISC, Johannes Kepler University Linz. PhD Thesis.2006.[bib]
W. A. de Graaf, M. Harrison, J. Pilnikova, J. Schicho.A Lie algebra method for rational parametrization of Severi–Brauer surfaces.Journal of Algebra303(2), pp. 514-529.2006.ISSN 0021-8693.[pdf][bib]
J. Pilnikova.Parametrizing algebraic varieties using Lie algebras. RISC, JKU Linz. PhD Thesis.2006.[pdf][bib]
2005
I. Szil\'agyi and B. J\"uttler and J. Schicho.Local Parametrization of Cubic Surfaces.Journal of Symbolic Computation, pp. 1-24.2005.ISSN 0747-7171.to appear.[bib]
M. Aigner, I. Szil\'agyi, B. J\"uttler, J. Schicho.Implicitization and Distance Bounds. In: Mathematic and Visualization, M. Elkadi (ed.), Mathematics and Visualization, pp. 1-14.2005.Springer,to appear.[bib]
J. Schicho, I. Szil\'agyi.Numerical Stability of Surface Implicitization.Journal of Symbolic Computation, pp. 1-14.2005.ISSN 0747-7171.to appear.[bib]
Ibolya Szilagyi.Symbolic-Numeric Techniques for Cubic Surfaces. RISC-Linz. PhD Thesis.July2005.PhD Thesis.[pdf][ps][bib]
2004
G. Bodnar.Algorithmic tests for the normal crossing property. In: Automated Deduction in Geometry-Proc. of ADG 2002, F. Winkler (ed.), LNAI2930, pp. 1-20.2004.Springer,ISBN: 3-540-20927-1.[bib]
G. Bodnar.Efficient Desingularization of Reducible Algebraic Sets. In: Proceedings of ISSAC 2004, J. Gurierrez (ed.), pp. 35-41.2004.Sheridan Printing,ISBN: 1-58113-827-X.[bib]
J. Pilnikova, J. Schicho.Algorithms for solving rational quadratic forms. Johannes Kepler University, Linz. Technical report no. 32, 2004.SFB-Report.[url][bib]
I. Szil\'agyi and B. J\"uttler and J. Schicho.Local Parametrization of Cubic Surfaces. J. Kepler University, Linz. Technical report no. 2004-31, 2004.SFB-Report.[url][bib]
J. schicho, I. Szil\'agyi.Numerical Stability of Surface Implicitization. J. Kepler University, Linz. Technical report no. 2004-27, 2004.SFB-Report.[url][bib]
Mohamed Shalaby, Bert Jüttler, Josef Schicho.$C^1$ Spline Implicitization of Planar Curves. In: Automated Deduction in Geometry - Proceedings of the Conference Automated Deduction in Geometry (ADG'2002), Franz Winkler (ed.), Proceedings of Automated Deduction in Geometry (ADG'2002), LNAI2930, pp. -.2004.Springer-Verlag,ISBN 3540209271.[bib]
2003
G. Bodnar, B. Kaltenbacher, P. Pau, J. Schicho.Exact real computation in computer algebra. In: Symbolic and Numerical Scientific Computing - Proc. of SNSC'01, U. Langer and F. Winkler (ed.), LNCS2630, pp. 279-292.2003.Springer,ISBN: 3-540-40554-2.[bib]
G. Bodnar.Computation of blowing up centers.Journal of Pure and Applied Algebra179(3), pp. 221-233.2003.ISSN: 0022-4049.[bib]
Bert Jüttler, Josef Schicho, Mohamed Shalaby.Spline Implicitization of Planar Curves. In: Curve and Surface Design: St. Malo 2002, T. Lyche, M. Mazure, L. Schumaker (ed.), Proceedings of St. Malo 2002, pp. 225-234.2003.Nashboro Press,Brentwood,ISBN 0-9728482-0-7.[bib]
2002
G. Bodnar.Unification of blowing up sequences. In: Actas del EACA-2002, Philippe Giménez (ed.), pp. 111-115.2002.University of Valladolid, Spain,X.[bib]
2001
Gabor Bodnar, Josef Schicho.Two Computational Techniques for Singularity Resolution. Technical report no. 01-30 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).December2001.[ps][bib]
G. Bodnar, J. Schicho.Two computational techniques for singularity resolution.Journal of Symbolic Computation32(1-2), pp. 39-54.2001.ISSN: 0747-7171.[bib]
G. Landsmann, J. Schicho, F. Winkler.The Parametrization of Canal Surfaces and the Decomposition of Polynomials into a Sum of Two Squares.Journal of Symbolic Computation32(1&2), pp. 119-132.2001.ISSN 0747-7171.[ps][pdf][bib]
2000
G. Bodnar, J. Schicho.A Computer Program for the Resolution of Singularities. In: Resolution of Singularities, A research textbook in tribute to Oscar Zariski, H. Hauser and J. Lipman and F. Oort and A. Quir'os (ed.), Progress in Mathematics181, pp. 231-238.2000.Birkhäuser,Basel,ISBN 3-7643-6178-6.[bib]
Gabor Bodnar, Petru Pau, Josef Schicho.Exact Real Computation in Computer Algebra. Technical report no. 00-33 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).December2000.[ps][bib]
G. Bodnar, J. Schicho.Automated Resolution of Singularities for Hypersurfaces.Journal of Symbolic Computation30(4), pp. 401-428.2000.London,ISSN: 0747-7171.[bib]
G. Bodnar, J. Schicho.An Improved Algorithm for the Resolution of Singularities. In: Proceedings of ISSAC 2000, C. Traverso (ed.), pp. 30-37.2000.New York,ISBN: 1-58113-218-2.[bib]
G. Bodnar.Algorithmic Resolution of Singularities. Research Institute for Symbolic Computation, Johannes Kepler University. PhD Thesis.A-4040 Linz,2000.[bib]
B. Buchberger, J. Schicho.F 1303: Proving and Solving Over the Reals. In: Special Research Program (SFB) F 013, Numerical and Symbolic Scientific Computing, Proposal for Continuation, Part I: Progress Report, April 1998-September 2000, B. Buchberger and U.Langer (ed.), pp. 126-142.October2000.Johannes Kepler University Linz, Austria,[bib]
B. Buchberger, J. Schicho.F 1303: Proving and Solving Over the Reals (Progress Report). In: Special Research Program (SFB) F 013, Numerical and Symbolic Scientific Computing, Proposal for Continuation, Part I: Progress Report, April 1998-September 2000, B. Buchberger and U.Langer (ed.), pp. 126-142.October2000.Johannes Kepler University Linz, Austria,[bib]
1995
H. Hong, D. Wang, F. Winkler (ed.).Algebraic Approaches to Geometric Reasoning.special issue of the journal "Annals of Mathematics and Artificial Intelligence"13/1&2,1 edition,March1995.editor-in-chief M.C. Golumbic, publisher J.C. Baltzer AG,ISSN 1012-2443.[bib]
Josef Schicho.Rational Parametrization of Algebraic Surfaces. Symbolic Solution of an Equation in three Variables. RISC, Johannes Kepler University Linz. PhD Thesis.1995.[bib]
