Regularity and Segre-Veronese embeddings
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- by David A. Cox and Evgeny Materov PDF
- Proc. Amer. Math. Soc. 137 (2009), 1883-1890 Request permission
Abstract:
This paper studies the regularity of certain coherent sheaves that arise naturally from Segre-Veronese embeddings of a product of projective spaces. We give an explicit formula for the regularity of these sheaves and show that their regularity is subadditive. We then apply our results to study the Tate resolutions of these sheaves.References
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Additional Information
- David A. Cox
- Affiliation: Department of Mathematics and Computer Science, Amherst College, Amherst, Massachusetts 01002-5000
- MR Author ID: 205908
- Email: dac@cs.amherst.edu
- Evgeny Materov
- Affiliation: Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-9305
- Address at time of publication: Fachbereich Mathematik und Informatik, Institut für Mathematik, Freie Universität Berlin, Arnimallee 3, D-14195 Berlin, Germany
- Received by editor(s): May 29, 2008
- Published electronically: January 15, 2009
- Communicated by: Bernd Ulrich
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 1883-1890
- MSC (2000): Primary 13D02; Secondary 14F05, 16E05
- DOI: https://doi.org/10.1090/S0002-9939-09-09783-4
- MathSciNet review: 2480267