On moduli spaces of semistable sheaves on Enriques surfaces - Mathematics > Algebraic GeometryReportar como inadecuado




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



Autor: Marcin Hauzer

Fuente: https://arxiv.org/







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