On Moduli Spaces of Semistable Sheaves on K3 Surfaces
Language: English
Published by Südwestdeutscher Verlag Für Hochschulschriften Okt 2010, 2010
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -A big challenge in symplectic geometry is the search for irreducible symplectic manifolds. After O'Grady constructed striking examples out of singular moduli spaces of sheaves on projective abelian and K3 surfaces for special nonprimitive Mukai vectors v with v.v=8, Kaledin, Lehn and Sorger proved that for all nonprimitive Mukai vectors v with v.v>8 the moduli space is not symplectically resolvable if the ample divisor is general. In this thesis we investigate the remaining cases of moduli spaces of semistable sheaves on projective K3 surfaces - the cases of Mukai vector (0,c,0) as well as moduli spaces for nongeneral ample divisors - with regard to the possible construction of new examples of projective irreducible symplectic manifolds. We establish a connection to the already investigated moduli spaces or generalisations thereof, and we are able to extend the known results to all of the open remaining cases for rank 0 and many of those for positive rank. In particular, we can exclude for these cases the existence of new examples of projective irreducible symplectic manifolds lying birationally over components of the moduli space.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 120 pp. Englisch.…
Seller Inventory # 9783838119083
- Title
- On Moduli Spaces of Semistable Sheaves on K3 Surfaces
- Author
- Markus Zowislok
- Publisher
- Südwestdeutscher Verlag Für Hochschulschriften Okt 2010
- Publication year
- 2010
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3838119088
- ISBN 13
- 9783838119083
- Item weight
- 197 grams
- Dimensions
- 220x150x8 mm
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buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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