On the bicanonical maps of primitive varieties with q(X) = dim(X): the degree and the Euler number

2012/10/07 by Lei Zhang, Zhang, Lei
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1210.2060

openalex publication_date 2012/10/07 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this note we studied the primitive varieties of general type with q(X) = dim(X) and non-birational bicanonical maps. Let X be such a variety. We bounded the degree of its bicanonical map. If moreover the Albanese variety Alb(X) is simple, we proved that the Euler number χ(ω_X) = 1, and |2K_X| separates the points mapped to the same general point via the Albanese map.

Citations

• Regularity on abelian varieties III: relationship with Generic Vanishing and applications

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