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Period map of a certain K3 family with an ๐”–5-action

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Published/Copyright: November 15, 2010
Journal fรผr die reine und angewandte Mathematik
From the journal Volume 2011 Issue 652

Abstract

In this paper, we study the period map of a certain one-parameter family of quartic K3 surfaces with an ๐”–5-action. We construct automorphic forms on the period domain as the pull-backs of theta constants of genus 2 by a modular embedding. Using these automorphic forms, we give an explicit presentation of the inverse period map.

Received: 2009-04-02
Revised: 2009-09-28
Published Online: 2010-11-15
Published in Print: 2011-March

ยฉ Walter de Gruyter Berlin ยท New York 2011

Articles in the same Issue

  1. Period map of a certain K3 family with an ๐”–5-action
  2. Steady periodic water waves under nonlinear elastic membranes
  3. Universal recursive formulae for Q-curvatures
  4. On local root numbers and distinction
  5. Giambelli, Pieri, and tableau formulas via raising operators
https://doi.org/10.1515/crelle.2011.014

Articles in the same Issue

  1. Period map of a certain K3 family with an ๐”–5-action
  2. Steady periodic water waves under nonlinear elastic membranes
  3. Universal recursive formulae for Q-curvatures
  4. On local root numbers and distinction
  5. Giambelli, Pieri, and tableau formulas via raising operators
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