تقرير
Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences
| العنوان: | Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences |
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| المؤلفون: | Addington, N., Donovan, W., Meachan, C. |
| المصدر: | J. Lond. Math. Soc. (2) 93(3):846-865, 2016 |
| سنة النشر: | 2015 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry |
| الوصف: | We show that for many moduli spaces M of torsion sheaves on K3 surfaces S, the functor D(S) -> D(M) induced by the universal sheaf is a P-functor, hence can be used to construct an autoequivalence of D(M), and that this autoequivalence can be factored into geometrically meaningful equivalences associated to abelian fibrations and Mukai flops. Along the way we produce a derived equivalence between two compact hyperkaehler 2g-folds that are not birational, for every g >= 2. We also speculate about an approach to showing that birational moduli spaces of sheaves on K3 surfaces are derived-equivalent. Comment: 28 pages. typos corrected. final version to appear in JLMS |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1112/jlms/jdw022 |
| URL الوصول: | http://arxiv.org/abs/1507.02597 |
| رقم الأكسشن: | edsarx.1507.02597 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1112/jlms/jdw022 |
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