Some notes on the moduli of stable sheaves on elliptic surfaces

Details Some notes on the moduli of stable sheaves on elliptic surfaces Some notes on the moduli of stable sheaves on elliptic surfaces

1997-05-06

arxiv.org/abs/alg-geom/9705007v1

Mathematics

Algebraic Geometry

AMS-LaTex, 18 pages

Scientific paper

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.

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