Homotopical finiteness of smooth and proper dg-algebras
| dc.creator | Toen, B. | |
| dc.date | 2006-09-27 | |
| dc.date | 2007-08-02 | |
| dc.date.accessioned | 2026-07-07T08:21:47Z | |
| dc.date.available | 2026-07-07T08:21:47Z | |
| dc.description | We show that any smooth and proper dg-algebra (over some base ring k) is determined, up to quasi-isomorphism, by its underlying A_n-algebra, for a certain integer n. Similarly, any morphism between two smooth and proper dg-algebras is determined, up to homotopy, by the morphism induced on the underlying A_n-algebras, for a certain integer n. When the base ring k is local, we show that the integer n can be chosen uniformally for all smooth and proper dg-algebras for which two numerical invariants (the "type" and the "cohomogical dimension") are bounded. | |
| dc.description | French, 27 pages. Preliminary version (comments are welcome). Minor corrections. Def 3.4 has been slightly modified | |
| dc.identifier | https://arxiv.org/abs/math/0609762 | |
| dc.identifier | http://arxiv.org/abs/math/0609762 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135437 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Algebraic Geometry | |
| dc.title | Homotopical finiteness of smooth and proper dg-algebras | |
| dc.type | text |