On moduli spaces of semistable sheaves on Enriques surfaces
Tom 99 / 2010
Annales Polonici Mathematici 99 (2010), 305-321
MSC: Primary 14D20; Secondary 14J28.
DOI: 10.4064/ap99-3-7
Streszczenie
We describe some one-dimensional moduli spaces of rank $2$ Gieseker semistable sheaves on an Enriques surface improving earlier results of H. Kim. In the case of a nodal Enriques surface the moduli spaces obtained 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 case, one can reduce to rank $1$.
