On moduli spaces of semistable sheaves on Enriques surfaces

Details On moduli spaces of semistable sheaves on Enriques surfaces On moduli spaces of semistable sheaves on Enriques surfaces

2010-03-30

arxiv.org/abs/1003.5857v1

Ann. Polon. Math. 99 (2010), no. 3, 305-321

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We describe some one-dimensional moduli spaces of rank 2 Gieseker semistable sheaves on an Enriques surface improving earlier results of H. Kim. In case of a nodal Enriques surface the obtained moduli spaces are reducible for general polarizations. For unnodal Enriques surfaces we show how to reduce the study of moduli spaces of high even rank Gieseker semistable sheaves to low ranks. To prove this we use the method of K. Yoshioka who showed that in the odd rank one can reduce to rank 1.

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