Generic lattice ideals-Reference-Cited by-同舟云学术

Generic lattice ideals

Published:1998 Issue:2 Volume:11 Page:363-373
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Peeva Irena,Sturmfels Bernd

Abstract

A concept of genericity is introduced for lattice ideals (and hence for ideals defining toric varieties) which ensures nicely structured homological behavior. For a generic lattice ideal we construct its minimal free resolution and we show that it is induced from the Scarf resolution of any reverse lexicographic initial ideal.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/1998-11-02/S0894-0347-98-00255-0/S0894-0347-98-00255-0.pdf

Reference7 articles.

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3. The topological structure of maximal lattice free convex bodies: the general case;Bárány, I.,1995

4. [BPS] D. Bayer, I. Peeva, B. Sturmfels, Monomial resolutions, Manuscript, 1996.

5. [PS] I. Peeva and B. Sturmfels, Syzygies of codimension 2 lattice ideals, to appear in Mathematische Zeitschrift.

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