أعرض في EDS

On the derived categories of degree d hypersurface fibrations

التفاصيل البيبلوغرافية
العنوان: On the derived categories of degree d hypersurface fibrations
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
الوصف
تدمد:14321807
00255831