✦ LIBER ✦

Automorphism Groups of Quartic del Pezzo Surfaces

✍ Scribed by Toshio Hosoh

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 203 KB
Volume: 185
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0331

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✦ Synopsis

The automorphism group of a generic quartic del Pezzo surface is isomorphic to Ž . 4 w Ž .

x the group ‫ޚ2‪r‬ޚ‬ M. Koitabashi, J. Algebra 116 1988 , 130᎐142 . In this article, we determine the automorphism group of each quartic del Pezzo surface.

📜 SIMILAR VOLUMES

Automorphism Groups of Cubic Surfaces

✍ Toshio Hosoh 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 283 KB

The automorphism group of a generic cubic surface is trivial M. Kostabashi, J. x Algebra 116 130᎐142 . In this article, we determine the automorphism group of each nonsingular cubic surface.

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Higher order birational embeddings of Del Pezzo surfaces

✍ Andreas Leopold Knutsen 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

## Abstract Let __L__ be a nef line bundle on a Del Pezzo surface. We show that __L__ + __K~S~__ is birationally __k__–very ample if and only if all the smooth curves in |__L__| have gonality ≥__k__ + 2, and we also find numerical criteria for birational __k__–very ampleness.