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Regularity and Segre-Veronese embeddings
Author(s):
David
A.
Cox;
Evgeny
Materov
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1883-1890.
MSC (2000):
Primary 13D02;
Secondary 14F05, 16E05
Posted:
January 15, 2009
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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:
-
- 1.
- Ş. Bărcănescu and N. Manolache, Betti numbers of Segre-Veronese singularities, Rev. Roumaine Math. Pures Appl. 26 (1981), 549-565. MR 627814 (82j:13029)
- 2.
- M. Chardin, Some results and questions on Castelnuovo-Mumford regularity, in Syzygies and Hilbert Functions (I. Peeva, ed.), Lecture Notes in Pure and Appl. Math 254, Chapman & Hall/CRC, Boca Raton, FL, 2007, 1-40. MR 2309925 (2008c:13023)
- 3.
- M. Chardin, private communication.
- 4.
- D. Cox and E. Materov, Tate Resolutions for Segre Embeddings, preprint, arXiv:0711.0550.
- 5.
- D. Eisenbud, G. Fløystad and F.-O. Schreyer, Sheaf cohomology and free resolutions over exterior algebras, Trans. Amer. Math. Soc. 355 (2003), 4397-4426. MR 1990756 (2004f:14031)
- 6.
- M. Hering, H. Schenck and G. Smith, Syzygies, multigraded regularity and toric varieties, Compos. Math. 142 (2006), 1499-1506. MR 2278757 (2007k:13025)
- 7.
- R. Lazarsfeld, Positivity in Algebraic Geometry. I, Ergebnisse der Mathematik 48, Springer, 2004. MR 2095471 (2005k:14001a)
- 8.
- D. Maclagan and G. Smith, Multigraded Castelnuovo-Mumford regularity, J. Reine Angew. Math. 571 (2004), 179-212. MR 2070149 (2005g:13027)
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Additional Information:
David
A.
Cox
Affiliation:
Department of Mathematics and Computer Science, Amherst College, Amherst, Massachusetts 01002-5000
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
DOI:
10.1090/S0002-9939-09-09783-4
PII:
S 0002-9939(09)09783-4
Keywords:
Regularity,
Segre-Veronese embedding,
Tate resolution
Received by editor(s):
May 29, 2008
Posted:
January 15, 2009
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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