Academic Journal
Dimensional homotopy t-structures in motivic homotopy theory.
| Τίτλος: | Dimensional homotopy t-structures in motivic homotopy theory. |
|---|---|
| Συγγραφείς: | Bondarko, Mikhail1, Déglise, Frédéric2 |
| Πηγή: | Advances in Mathematics. Apr2017, Vol. 311, p91-189. 99p. |
| Θεματικοί όροι: | *Homotopy theory, *Spectral sequences (Mathematics), *Isomorphism (Mathematics), *Cohomology theory, *Sheaf theory |
| Περίληψη: | The aim of this work is to construct certain homotopy t-structures on various categories of motivic homotopy theory, extending works of Voevodsky, Morel, Déglise and Ayoub. We prove these t -structures possess many good properties, some analogous to those of the perverse t -structure of Beilinson, Bernstein and Deligne. We compute the homology of certain motives, notably in the case of relative curves. We also show that the hearts of these t -structures provide convenient extensions of the theory of homotopy invariant sheaves with transfers, extending some of the main results of Voevodsky. These t-structures are closely related to Gersten weight structures as defined by Bondarko. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
καταχωρήστε σχόλιο πρώτοι!