Irrationality of the moduli spaces of polarized abelian surfaces

2012 ◽  
Author(s):  
Valeri Gritsenko
Keyword(s):  
Moduli Spaces ◽  
Abelian Surfaces

scholarly journals Relative Proportionality for Subvarieties of Moduli Spaces of K3 and Abelian Surfaces

2009 ◽  
Vol 5 (3) ◽  
pp. 1161-1199 ◽  
Author(s):  
S. Mauller-Stach ◽  
E. Viehweg ◽  
K. Zuo
Keyword(s):  
Moduli Spaces ◽  
Abelian Surfaces

scholarly journals Moduli spaces of the stable vector bundles over abelian surfaces

1980 ◽  
Vol 77 ◽  
pp. 47-60 ◽  
Author(s):  
Hiroshi Umemura
Keyword(s):  
Line Bundle ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Vector Bundles ◽  
Ample Line Bundle ◽  
Abelian Surfaces ◽  
Singular Variety ◽  
Stable Bundles ◽  
Stable Vector Bundles ◽  
Closed Subvariety

Let X be a projective non-singular variety and H an ample line bundle on X. The moduli space of H-stable vector bundles exists by Maruyama [4]. If X is a curve defined over C, the structure of the moduli space (or its compactification) M(X, d, r) of stable vector bundles of degree d and rank r on X is studied in detail. It is known that the variety M(X, d, r) is irreducible. Let L be a line bundle of degree d and let M(X, L, r) denote the closed subvariety of M(X, d, r) consisting of all the stable bundles E with det E = L.

Moduli Spaces of Abelian Surfaces

1993 ◽  
Author(s):  
Klaus Hulek ◽  
Constantin Kahn ◽  
Steven H. Weintraub
Keyword(s):  
Moduli Spaces ◽  
Abelian Surfaces
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