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March 2010 Generic initial ideals and fibre products
Aldo Conca, Tim Römer
Osaka J. Math. 47(1): 17-32 (March 2010).

Abstract

We study the behavior of generic initial ideals with respect to fibre products. In our main result we determine the generic initial ideal of the fibre product with respect to the reverse lexicographic order. As an application we compute explicitly the generic initial ideal of a fibre product in a special case. We also prove that the fibre product of two graded ideals is componentwise linear if and only if both ideals have this property.

Citation

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Aldo Conca. Tim Römer. "Generic initial ideals and fibre products." Osaka J. Math. 47 (1) 17 - 32, March 2010.

Information

Published: March 2010
First available in Project Euclid: 19 February 2010

zbMATH: 1189.13011
MathSciNet: MR2666122

Subjects:
Primary: 13C99, 13P10
Secondary: 13F55

Rights: Copyright © 2010 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
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Vol.47 • No. 1 • March 2010
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