Zobacz książki o podobnej tematyce

Więcej informacji o On Moduli Spaces of Semistable Sheaves on K3 Surfaces

• Dane szczegółowe
• Opis
• Ulubione w innej kategorii

Za ten zakup dostaniesz 162 punkty

Opis

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.v8 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.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Geometry

• Pełny tytuł: On Moduli Spaces of Semistable Sheaves on K3 Surfaces
• Podtytuł: In Search of new Irreducible Symplectic Manifolds
• Autor: Markus Zowislok
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 120
• EAN: 9783838119083
• ISBN: 3838119088
• ID: 07166185
• Wydawca: Sudwestdeutscher Verlag Fur Hochschulschriften AG
• Waga: 192 g
• Wymiary: 229 × 152 × 7 mm
• Data wydania: 20. October 2010

Ulubione w innej kategorii

---

---

---