November 2002 | ||
11. 11. | Josef Schicho |
Del Pezzo surfaces, cubic surfaces rational surface, parametric genus, linear system of curves, Castelnuovo criteria, lattice polygons |
18. 11. | Josef Schicho |
Del Pezzo surfaces, cubic surfaces 2 lines on Del Pezzo surfaces, Cayley-Bachamat theorem, weighted projective space, problems (Diophantine questions, real problems, find: a special curve, a point, parametrization) |
25. 11. | Christian Vogt | Puiseux series, Newton polygon |
December 2002 | ||
2. 12. | Christian Vogt | Puiseux series, Newton polygon 2 |
9. 12. | Ibolya Szilagyi |
The theorem of Hilbert-Burch complex, exact complex, free-resolution, Hilbert-Burch theorem |
January 2003 | ||
6.1. | Josef Schicho |
Complexity of resolution of singularities of curves motivation, known results, available methods, precise question |
13.1. | Gábor Bodnár | Normalization of affine domains |
March 2003 | ||
11.3. | Janka Pílniková |
Solving quadratic forms of 3 variables over rationals necessary and sufficient condition of solvability, Legendre theorem, Magma demo |
27.3. | Josef Schicho |
Toric theory of adjoints toric surface, embedding dimension, degree, rational genus, Pick's theorem, birational map, examples |
April 2003 | ||
3.4. | Janka Pílniková |
Introduction to p-adic numbers p-adic numbers, Hasse principle, examples |
May 2003 | ||
8.5. | Josef Schicho |
Adjoints graded coordinate ring, coordinate-free decription of a projective variety, regular function, isomorphism, rational function |
15.5. | Gábor Bodnár |
Introduction to understand Mega talk concept of gluing, blowing-up, resolution of singularities |
22.5. | Gábor Bodnár |
MEGA talk localization, blowing-up, resolution of singularities |
June 2003 | ||
5.6. | Josef Schicho | Adjoints |
12.6. | Josef Schicho | Regular diff. forms on curves, canonical maps for curves |
26.6. | Josef Schicho |
Picard group of a variety divisor, effective divisor, principle divisor, prime divisor, canonical divisor, linear system of divisors |