Duality and symmetry of complexity over complete intersections via exterior homology
| Autor: | Josh Pollitz, Jian Liu |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Derived category
Pure mathematics Regular sequence Applied Mathematics General Mathematics Koszul complex 13D09 (primary) 13D07 13H10 16E45 (secondary) Homology (mathematics) Commutative Algebra (math.AC) Complete intersection ring Mathematics - Commutative Algebra Regular ring FOS: Mathematics Homological algebra Exterior algebra Mathematics |
| Popis: | We study homological properties of a locally complete intersection ring by importing facts from homological algebra over exterior algebras. One application is showing that the thick subcategories of the bounded derived category of a locally complete intersection ring are self-dual under Grothendieck duality. This was proved by Stevenson when the ring is a quotient of a regular ring modulo a regular sequence; we offer two independent proofs in the more general setting. Second, we use these techniques to supply new proofs that complete intersections possess symmetry of complexity. 13 pages, comments welcome |
| Databáze: | OpenAIRE |
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