A kleiman-bertini theorem for sheaf tensor products
Publication
, Journal Article
Ezra, M; Speyer, DE
Published in: Journal of Algebraic Geometry
January 1, 2008
Fix a variety X with a transitive (left) action by an algebraic group G. Let ε and ℱ be coherent sheaves on X. We prove that for elements g in a dense open subset of G, the sheaf Tor¡X- (ε, gℱ) vanishes for all i > 0. When ε 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 ε or ℱ, or hypotheses on the characteristic of the ground field.
Duke Scholars
Published In
Journal of Algebraic Geometry
DOI
ISSN
1056-3911
Publication Date
January 1, 2008
Volume
17
Issue
2
Start / End Page
335 / 340
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Ezra, M., & Speyer, D. E. (2008). A kleiman-bertini theorem for sheaf tensor products. Journal of Algebraic Geometry, 17(2), 335–340. https://doi.org/10.1090/s1056-3911-07-00479-1
Ezra, M., and D. E. Speyer. “A kleiman-bertini theorem for sheaf tensor products.” Journal of Algebraic Geometry 17, no. 2 (January 1, 2008): 335–40. https://doi.org/10.1090/s1056-3911-07-00479-1.
Ezra M, Speyer DE. A kleiman-bertini theorem for sheaf tensor products. Journal of Algebraic Geometry. 2008 Jan 1;17(2):335–40.
Ezra, M., and D. E. Speyer. “A kleiman-bertini theorem for sheaf tensor products.” Journal of Algebraic Geometry, vol. 17, no. 2, Jan. 2008, pp. 335–40. Scopus, doi:10.1090/s1056-3911-07-00479-1.
Ezra M, Speyer DE. A kleiman-bertini theorem for sheaf tensor products. Journal of Algebraic Geometry. 2008 Jan 1;17(2):335–340.
Published In
Journal of Algebraic Geometry
DOI
ISSN
1056-3911
Publication Date
January 1, 2008
Volume
17
Issue
2
Start / End Page
335 / 340
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics