Singular elliptic genus of normal surfaces

2007/11/28 by Robert Waelder, Waelder, Robert
Mathematics · #14J17 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0711.4453

openalex publication_date 2007/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the singular elliptic genus for arbitrary normal surfaces, prove that it is a birational invariant, and show that it generalizes the singular elliptic genus of Borisov and Libgober and the stringy χ_y genus of Batyrev and Veys.

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