Equivariant classification of Gorenstein open log del Pezzo surfaces with finite group actions

2003/11/10 by Masayoshi Miyanishi, De-Qi Zhang, De‐Qi Zhang +2
Mathematics · #14J50 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Primary 14J17 #Secondary 14J26 #math.AG #msc:14J17 #msc:14J26 #msc:14J50

paper · pdf · doi:10.48550/arxiv.math/0311138

J. Math. Soc. Japan, Vol. 56, No. 1, Yr 2004 (to appear). Better figures are available upon request

arxiv created 2003/11/10 · openalex publication_date 2003/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify equivariantly Gorenstein log del Pezzo surfaces with boundaries at infinity and with finite group actions such that the quotient surface modulo the finite group has Picard number one. We also determine the corresponding finite groups. Better figures are available upon request.

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