Semantic Scholar
Open Access
2003
28 sitasi
Gradients of odd theta functions
S. Grushevsky
R. Manni
Abstrak
We show that a generic principally polarized abelian variety (ppav) is uniquely determined by its theta hyperplanes. These are the non-projectivized version of those studied by Caporaso and Sernesi (see math.AG/0204164), which in a sense are a generalization to ppavs of bitangents of plane quartics, and of hyperplanes tangent to a canonical curves of genus $g$ in $g-1$ points. More precisely, we show that, generically, the set of gradients of all odd theta functions at the point zero uniquely determines a ppav with level (4,8) structure. We also show that our map is an immersion of the moduli space of ppavs.
Topik & Kata Kunci
Penulis (2)
S
S. Grushevsky
R
R. Manni
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2003
- Bahasa
- en
- Total Sitasi
- 28×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1515/CRLL.2004.063
- Akses
- Open Access ✓