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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

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Generic lattice ideals
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by Irena Peeva and Bernd Sturmfels PDF
J. Amer. Math. Soc. 11 (1998), 363-373 Request permission

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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  • D. Bayer, I. Peeva, B. Sturmfels, Monomial resolutions, Manuscript, 1996.
  • I. Peeva and B. Sturmfels, Syzygies of codimension $2$ lattice ideals, to appear in Mathematische Zeitschrift.
  • Richard P. Stanley, Combinatorics and commutative algebra, Progress in Mathematics, vol. 41, Birkhäuser Boston, Inc., Boston, MA, 1983. MR 725505, DOI 10.1007/978-1-4899-6752-7
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Additional 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