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Normal del Pezzo surfaces containing a nonrational singularity

✍ Scribed by Stefan Schröer

Publisher
Springer
Year
2001
Tongue
English
Weight
144 KB
Volume
104
Category
Article
ISSN
0025-2611

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📜 SIMILAR VOLUMES

On non-normal del Pezzo surfaces
On non-normal del Pezzo surfaces
✍ 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.

A boundedness result for toric log Del P
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In this paper we give an upper bound for the Picard number of the rational surfaces which resolve minimally the singularities of toric log Del Pezzo surfaces of given index ℓ. This upper bound turns out to be a quadratic polynomial in the variable ℓ.