Geography of Gorenstein stable log surfaces

2013/07/08 by Wenfei Liu, Liu, Wenfei, Sönke Rollenske +1
Mathematics · #14J10 #14J29 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14J10 #msc:14J29

paper · pdf · doi:10.48550/arxiv.1307.1999

25 page, 10 figures; v2: minor changes, to appear in TAMS

openalex publication_date 2013/07/08 · arxiv created 2014/02/19 · arxiv updated 2014/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the geography of Gorenstein stable log surfaces and prove two inequalities for their invariants: the stable Noether inequality and the P₂-inequality. By constructing examples we show that all invariants are realised except possibly some cases where the inequalities become equalities.

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