A Kleiman-Bertini Theorem for sheaf tensor products
| dc.creator | Miller, Ezra | |
| dc.creator | Speyer, David E | |
| dc.date | 2006-01-10 | |
| dc.date | 2007-02-08 | |
| dc.date.accessioned | 2026-07-07T07:45:17Z | |
| dc.date.available | 2026-07-07T07:45:17Z | |
| dc.description | Fix a variety X with a transitive (left) action by an algebraic group G. Let E and F be coherent sheaves on X. We prove that, for elements g in a dense open subset of G, the sheaf Tor_i^X(E, g F) vanishes for all i > 0. When E and F are structure sheaves of smooth subschemes of X in characteristic zero, this follows from the Kleiman-Bertini theorem; our result has no smoothness hypotheses on the supports of E or F, or hypotheses on the characteristic of the ground field. | |
| dc.description | 5 pages; v2: corrected misspelled title; v3: smoothness of group G added to hypotheses, additional remarks on page 1, slight edit in proof of Lemma 1, to appear in Journal of Algebraic Geometry; v4: corrected omission of the word "dense" from main theorem | |
| dc.identifier | https://arxiv.org/abs/math/0601202 | |
| dc.identifier | http://arxiv.org/abs/math/0601202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123484 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.title | A Kleiman-Bertini Theorem for sheaf tensor products | |
| dc.type | text |