Smoothness of Derived Categories of Algebras
| Autor: | Alexey Elagin, Olaf M. Schnürer, Valery A. Lunts |
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| Rok vydání: | 2020 |
| Předmět: |
Statement (computer science)
Pure mathematics Derived category Smoothness (probability theory) General Mathematics Center (group theory) Mathematics - Algebraic Geometry Bounded function FOS: Mathematics Perfect field Finitely-generated abelian group Representation Theory (math.RT) Algebra over a field Algebraic Geometry (math.AG) Mathematics - Representation Theory Mathematics |
| Zdroj: | Moscow Mathematical Journal. 20:277-309 |
| ISSN: | 1609-4514 |
| DOI: | 10.17323/1609-4514-2020-2-277-309 |
| Popis: | We prove smoothness in the dg sense of the bounded derived category of finitely generated modules over any finite-dimensional algebra over a perfect field, hereby answering a question of Iyama. More generally, we prove this statement for any algebra over a perfect field that is finite over its center and whose center is finitely generated as an algebra. These results are deduced from a general sufficient criterion for smoothness. 32 pages, minor changes |
| Databáze: | OpenAIRE |
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