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K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) > 10
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Ken-Ichi Yoshikawa
Published/Copyright:
March 6, 2012
Abstract
We study the structure of the invariant of K3 surfaces with involution, which we obtained using equivariant analytic torsion. It was known before that the invariant is expressed as the Petersson norm of an automorphic form on the moduli space. When the rank of the invariant sublattice of the K3 lattice with respect to the involution is strictly bigger than 10, we prove that this automorphic form is expressed as the tensor product of an explicit Borcherds lift and Igusa's Siegel modular form.
Received: 2010-08-24
Revised: 2011-07-07
Published Online: 2012-03-06
Published in Print: 2013-04
©[2013] by Walter de Gruyter Berlin Boston
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- Essential dimension of algebraic tori
- K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) > 10
- Groups of positive weighted deficiency and their applications
- The Witt group of non-degenerate braided fusion categories
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Articles in the same Issue
- Essential dimension of algebraic tori
- K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) > 10
- Groups of positive weighted deficiency and their applications
- The Witt group of non-degenerate braided fusion categories
- Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties
- Solution of a uniqueness problem in the discrete tomography of algebraic Delone sets
- Brauer group of moduli of principal bundles over a curve
