Del Pezzo surfaces of degree 1 and Jacobians
β Scribed by Yu. G. Zarhin
- Book ID
- 105873390
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 335 KB
- Volume
- 340
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We classify all cases of exceptional curves on Del Pezzo surfaces, which turn out to be the smooth plane curves and some other cases with Clifford dimension 3. Moreover, the property of being exceptional holds for all curves in the complete linear system. We use this study to extend the
## Abstract Let __Y__ be a nonβnormal del Pezzo surface over β and let __d__ β (__Ο__^β1^~__Y__~)^2^ > 0 be the degree of __Y__. Then we prove that __Ο__^β__d__β4^~__Y__~ is very ample for __d__ = 1, 2.
The automorphism group of a generic quartic del Pezzo surface is isomorphic to Ε½ . 4 w Ε½ . x the group β«ή2βͺrβ¬ήβ¬ M. Koitabashi, J. Algebra 116 1988 , 130α142 . In this article, we determine the automorphism group of each quartic del Pezzo surface.