On Moduli Spaces of Semistable Sheaves on K3 Surfaces: In Search of new Irreducible Symplectic Manifolds

-15% su kodu: ENG15
65,93 
Įprasta kaina: 77,57 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
65,93 
Įprasta kaina: 77,57 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
2025-02-28 77.5700 InStock
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Knygos aprašymas

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.

Informacija

Autorius: Markus Zowislok
Leidėjas: Südwestdeutscher Verlag für Hochschulschriften AG Co. KG
Išleidimo metai: 2015
Knygos puslapių skaičius: 120
ISBN-10: 3838119088
ISBN-13: 9783838119083
Formatas: 220 x 150 x 8 mm. Knyga minkštu viršeliu
Kalba: Anglų

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