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- Title
Cutting out arithmetic Teichmüller curves in genus two via Theta functions.
- Authors
Kappes, André; Möller, Martin
- Abstract
We compute the class of arithmetic genus two Teichmüller curves in the Picard group of pseudo-Hilbert modular surfaces, distinguished according to their torsion order and spin invariant. As an application, we compute the number of genus two square-tiled surfaces with these invariants. The main technical tool is the computation of divisor classes of Hilbert Jacobi forms on the universal abelian surface over the pseudo-Hilbert modular surface.
- Subjects
TEICHMULLER spaces; THETA functions; PICARD groups; HILBERT modular surfaces; INVARIANTS (Mathematics)
- Publication
Commentarii Mathematici Helvetici, 2017, Vol 92, Issue 2, p257
- ISSN
0010-2571
- Publication type
Article
- DOI
10.4171/CMH/412