Math @ Duke

Publications [#243930] of Ezra Miller
Papers Published
 with Ezra, M; Speyer, DE, A kleimanbertini theorem for sheaf tensor products,
Journal of Algebraic Geometry, vol. 17 no. 2
(2008),
pp. 335340, ISSN 10563911 [MR2008k:14044], [math.AG/0601202]
(last updated on 2018/09/18)
Abstract: 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 KleimanBertini theorem; our result has no smoothness hypotheses on the supports of ε or ℱ, or hypotheses on the characteristic of the ground field.


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