Some notes on the moduli of stable sheaves on elliptic surfaces
Abstract
Under some assumptions, we compute the Picard group of moduli of stable sheaves on Abelian surfaces. Considering relative moduli spaces, it is sufficient to consider the moduli of stable sheaves on the product of elliptic curves. By using elementary transformatios (which was used by Friedman to treat rank 2 moduli spaces on elliptic surfaces), we treat this case. We also show that some moduli spaces on P^2 are rational.
 Publication:

arXiv eprints
 Pub Date:
 May 1997
 DOI:
 10.48550/arXiv.alggeom/9705007
 arXiv:
 arXiv:alggeom/9705007
 Bibcode:
 1997alg.geom..5007Y
 Keywords:

 Mathematics  Algebraic Geometry;
 14D20
 EPrint:
 AMSLaTex, 18 pages