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Combinatorics of binomial primary decomposition

Publication ,  Journal Article
Dickenstein, A; Matusevich, LF; Miller, E
Published in: Mathematische Zeitschrift
April 1, 2010

An explicit lattice point realization is provided for the primary components of an arbitrary binomial ideal in characteristic zero. This decomposition is derived from a characteristic-free combinatorial description of certain primary components of binomial ideals in affine semigroup rings, namely those that are associated to faces of the semigroup. These results are intimately connected to hypergeometric differential equations in several variables. © Springer-Verlag 2009.

Duke Scholars

Published In

Mathematische Zeitschrift

DOI

EISSN

1432-1823

ISSN

0025-5874

Publication Date

April 1, 2010

Volume

264

Issue

4

Start / End Page

745 / 763

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics
 

Citation

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Dickenstein, A., Matusevich, L. F., & Miller, E. (2010). Combinatorics of binomial primary decomposition. Mathematische Zeitschrift, 264(4), 745–763. https://doi.org/10.1007/s00209-009-0487-x
Dickenstein, A., L. F. Matusevich, and E. Miller. “Combinatorics of binomial primary decomposition.” Mathematische Zeitschrift 264, no. 4 (April 1, 2010): 745–63. https://doi.org/10.1007/s00209-009-0487-x.
Dickenstein A, Matusevich LF, Miller E. Combinatorics of binomial primary decomposition. Mathematische Zeitschrift. 2010 Apr 1;264(4):745–63.
Dickenstein, A., et al. “Combinatorics of binomial primary decomposition.” Mathematische Zeitschrift, vol. 264, no. 4, Apr. 2010, pp. 745–63. Scopus, doi:10.1007/s00209-009-0487-x.
Dickenstein A, Matusevich LF, Miller E. Combinatorics of binomial primary decomposition. Mathematische Zeitschrift. 2010 Apr 1;264(4):745–763.
Journal cover image

Published In

Mathematische Zeitschrift

DOI

EISSN

1432-1823

ISSN

0025-5874

Publication Date

April 1, 2010

Volume

264

Issue

4

Start / End Page

745 / 763

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics