Birational characterization of products of curves of genus 2

2004/02/18 by Christopher D. Hacon, Rita Pardini, Hacon, Christopher D. +1 · 1 citation
Mathematics · #14E99 #14J40 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #msc:14E99 #msc:14J40

paper · pdf · doi:10.48550/arxiv.math/0402296

LaTeX2e, 12 pages

arxiv created 2004/02/18 · openalex publication_date 2004/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a variety of maximal Albanese dimension. In this paper we prove that if χ(ω_X)=1 then the q(X)<=2dim X and if q(X)=2dim X, then X is birational to a product of curves of genus 2.

Cited by

• Generic vanishing theory in positive characteristic

Related

• On the birational geometry of varieties of maximal Albanese dimension
• On the bicanonical map of irregular varieties
• Characterization of C⁽ⁿ⁾
• On algebraic fiber spaces over varieties of maximal Albanese dimension
• Syzygies, Pluricanonical Maps, and the Birational Geometry of Varieties of Maximal Albanese Dimension