Toric log del Pezzo surfaces with one singularity

Author:

Dais Dimitrios I.1

Affiliation:

1. University of Crete , Department of Mathematics and Applied Mathematics, Division Algebra and Geometry , Voutes Campus, GR-70013, Heraklion , Crete , Greece

Abstract

Abstract This paper focuses on the classification (up to isomorphism) of all toric log Del Pezzo surfaces with exactly one singularity, and on the description of how they are embedded as intersections of finitely many quadrics into suitable projective spaces.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Reference42 articles.

1. V.A. Alekseev, V.V. Nikulin, Classification of del Pezzo surfaces with log-terminal singularities of index ≤ 2 and involutions on K3 surfaces. Dokl. Akad. Nauk SSSR306 (1989), 525–528. English translation: Soviet Math. Dokl. 39 (1989), no. 3, 507–511. MR1009466 Zbl1355.14026

2. V.Alexeev, V.V. Nikulin, Del Pezzo and K3 surfaces, volume15 of MSJ Memoirs. Mathematical Society of Japan, Tokyo 2006. MR2227002 Zbl1097.14001

3. V.V. Batyrev, Toric Fano threefolds (Russian). Izv. Akad. Nauk SSSR Ser. Mat. 45 (1981), 704–717, 927. MR631434 Zbl0478.14032

4. G.N. Belousov, Del Pezzo surfaces with log terminal singularities. Mat. Zametki83 (2008), 170–180. Englisch translation: Math. Notes83 (2008), 152–161. MR2431579 Zbl1148.14018

5. G.Belousov, The maximal number of singular points on log del Pezzo surfaces. J. Math. Sci. Univ. Tokyo16 (2009), 231–238. MR2582038 Zbl1210.14038

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. SEMICASCADES OF TORIC LOG DEL PEZZO SURFACES;B KOREAN MATH SOC;2022

2. Classification of Toric Log Del Pezzo Surfaces with Few Singular Points;The Electronic Journal of Combinatorics;2021-02-12

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