E8 lattice and the Kodaira dimension of orthogonal modular varieties

2013/06/10 by Shouhei Ma, Ma, Shouhei
Mathematics · #11F55 #14G35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1306.2129

openalex publication_date 2013/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for any even lattice L of signature (2,n), the modular variety defined by the orthogonal group of the lattice L+mE₈ is of general type when m is sufficiently large.

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