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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

Generic lattice ideals


Authors: Irena Peeva and Bernd Sturmfels
Journal: J. Amer. Math. Soc. 11 (1998), 363-373
MSC (1991): Primary 13D02
MathSciNet review: 1475887
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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.


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Additional Information

Irena Peeva
Affiliation: Department of Mathematics, Massachussetts Institute of Technology, Cambridge, Massachusetts 02139
Email: irena@math.mit.edu

Bernd Sturmfels
Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
Email: bernd@math.berkeley.edu

DOI: http://dx.doi.org/10.1090/S0894-0347-98-00255-0
PII: S 0894-0347(98)00255-0
Keywords: Syzygies, semigroup rings, toric varieties
Received by editor(s): April 24, 1997
Received by editor(s) in revised form: October 23, 1997
Article copyright: © Copyright 1998 American Mathematical Society