It is known that in the moduli space A A of elliptic curves, there exist precisely 9 1 -ޑrational points corresponding to the isomorphism class of elliptic curves with complex multiplication by the ring of algebraic integers of a principal imaginary quadratic number field. Here, we prove that in t
The Kodaira dimension of certain moduli spaces of Abelian surfaces
✍ Scribed by C. Erdenberger
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 149 KB
- Volume
- 274-275
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
The moduli space of (1, p)‐polarized abelian surfaces is a quasi‐projective variety. In the case when p is a prime, we want to study its Kodaira dimension. We will show that it is of general type for p > 71 and some smaller values of p. This improves an earlier result of G. K. Sankaran. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
A 2-form is constructed on the space of connections on a principal bundle over an oriented surface with boundary. This induces a symplectic structure for the moduli space of flat connections with boundary holonomies lying in prescribed conjugacy classes. The Yang-Mills quantum field measure is descr