Gorenstein Log del Pezzo Surfaces, II
β Scribed by M. Miyanishi; D.Q. Zhang
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 457 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0021-8693
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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.
## Abstract Let __L__ be a nef line bundle on a Del Pezzo surface. We show that __L__ + __K~S~__ is birationally __k__βvery ample if and only if all the smooth curves in |__L__| have gonality β₯__k__ + 2, and we also find numerical criteria for birational __k__βvery ampleness.
A k-very ample line bundle L on a Del Peaao Surface is numerically characterized, improving the results of BIANCOFIOR.E -CERESA in [7]. ample line bundles on surfaces whose Picard group is fully known. k -very ample line bundles on P2, on the Hirzebruch surfaces Fn and on hyperelliptic surfaces are