| 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 |