On moduli spaces of semistable sheaves on Enriques surfaces

• Autorzy: Marcin Hauzer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14J28: K 3 surfaces and Enriques surfaces
• 14D20: Algebraic moduli problems, moduli of vector bundles

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 3
• Strony: 305-321

Daty

wydano

2010

Twórcy

autor

Marcin Hauzer

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap99-3-7