The moduli space of bilevel-6 abelian surfaces

2000/12/20 by G. K. Sankaran, Sankaran, G. K., J. G. Spandaw +1
Mathematics · #11F46 #14J15 #14K10 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:11F46 #msc:14J15 #msc:14K10

paper · pdf · doi:10.48550/arxiv.math/0012202

9 pages, plain TeX. Results improved and extended: an error corrected

arxiv created 2001/05/30 · arxiv updated 2009/11/30

Abstract

The moduli space of abelian surfaces with polarisation of type (1,6) and a bilevel structure has positive Kodaira dimension. By contrast, Mukai has shown that the moduli space of bilevel-t abelian sufaces is rational for t=2,3,4,5.

Related

• Abelian surfaces with odd bilevel structure
• The Kodaira dimension of certain moduli spaces of abelian surfaces
• The moduli space of (1,11)-polarized abelian surfaces is unirational
• Moduli of Polarised Abelian Surfaces
• Moduli of abelian surfaces with a (1,p²) polarisation