Premium
The Kodaira dimension of certain moduli spaces of Abelian surfaces
Author(s) -
Erdenberger C.
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310201
Subject(s) - kodaira dimension , moduli space , mathematics , dimension (graph theory) , abelian group , pure mathematics , prime (order theory) , moduli , projective variety , variety (cybernetics) , mathematical analysis , combinatorics , physics , statistics , quantum mechanics
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)
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom