On the derived categories of degree d hypersurface fibrations
العنوان: | On the derived categories of degree d hypersurface fibrations |
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المؤلفون: | Ludmil Katzarkov, Dragos Deliu, M. Umut Isik, Matthew Ballard, David Favero |
المصدر: | Mathematische Annalen. 371:337-370 |
بيانات النشر: | Springer Science and Business Media LLC, 2018. |
سنة النشر: | 2018 |
مصطلحات موضوعية: | Pure mathematics, Mathematics::Commutative Algebra, General Mathematics, 010102 general mathematics, Clifford algebra, 01 natural sciences, Matrix decomposition, Mathematics::Algebraic Geometry, Hypersurface, Mathematics::K-Theory and Homology, Mathematics::Category Theory, 0103 physical sciences, Sheaf, Dual polyhedron, 010307 mathematical physics, 0101 mathematics, Mathematics |
الوصف: | We provide descriptions of the derived categories of degree d hypersurface fibrations which generalize a result of Kuznetsov for quadric fibrations and give a relative version of a well-known theorem of Orlov. Using a local generator and Morita theory, we re-interpret the resulting matrix factorization category as a derived-equivalent sheaf of dg-algebras on the base. Then, applying homological perturbation methods, we obtain a sheaf of $$A_\infty $$ -algebras which gives a new description of homological projective duals for (relative) d-Veronese embeddings, recovering the sheaf of Clifford algebras obtained by Kuznetsov in the case when $$d=2$$ . |
تدمد: | 1432-1807 0025-5831 |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::a9246b0a8e1565b43246019af9931669 https://doi.org/10.1007/s00208-017-1613-4 |
حقوق: | OPEN |
رقم الأكسشن: | edsair.doi...........a9246b0a8e1565b43246019af9931669 |
قاعدة البيانات: | OpenAIRE |
تدمد: | 14321807 00255831 |
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