K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space III: the case r(M)≥18

2010/07/16 by Kenichi Yoshikawa, Yoshikawa, Ken-Ichi · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1007.2841

openalex publication_date 2010/07/16 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We prove the automorphic property of the invariant of K3 surfaces with involution, which we obtained using equivariant analytic torsion, in the case where the dimension of the moduli space is less than or equal to 2.

Cited by

• Determinants of twisted Laplacians and the twisted Selberg zeta function

Related

• K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space II: a structure theorem for r(M)>10
• K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: the structure of invariant
• K3 Surfaces with Involution and Analytic Torsion
• Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, II: the singularity of the invariant (with an Appendix by Ken-Ichi Yoshikawa)
• Rationality of the moduli spaces of 2-elementary K3 surfaces II