Generic lattice ideals
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- by Irena Peeva and Bernd Sturmfels
- J. Amer. Math. Soc. 11 (1998), 363-373
- DOI: https://doi.org/10.1090/S0894-0347-98-00255-0
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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.References
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Bibliographic Information
- Irena Peeva
- Affiliation: Department of Mathematics, Massachussetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 263618
- Email: irena@math.mit.edu
- Bernd Sturmfels
- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
- MR Author ID: 238151
- Email: bernd@math.berkeley.edu
- Received by editor(s): April 24, 1997
- Received by editor(s) in revised form: October 23, 1997
- © Copyright 1998 American Mathematical Society
- Journal: J. Amer. Math. Soc. 11 (1998), 363-373
- MSC (1991): Primary 13D02
- DOI: https://doi.org/10.1090/S0894-0347-98-00255-0
- MathSciNet review: 1475887