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Del Pezzo surfaces with nonrational singularities

✍ Scribed by I. A. Chel’tsov

Publisher
SP MAIK Nauka/Interperiodica
Year
1997
Tongue
English
Weight
767 KB
Volume
62
Category
Article
ISSN
0001-4346

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## 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

On non-normal del Pezzo surfaces
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✍ Makoto Abe; Mikio Furushima 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB

## Abstract Let __Y__ be a non‐normal del Pezzo surface over ℂ and let __d__ ≔ (__ω__^−1^~__Y__~)^2^ > 0 be the degree of __Y__. Then we prove that __ω__^⊗__d__−4^~__Y__~ is very ample for __d__ = 1, 2.