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TitleGeneric initial ideals and fibre products.
Author(s) Aldo Conca, Tim Römer
TypeArticle in Journal
AbstractWe 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.
ISSN0030-6126
URL http://projecteuclid.org/euclid.ojm/1266586783
LanguageEnglish
JournalOsaka J. Math.
Volume47
Number1
Pages17--32
PublisherKinokuniya Company, Tokyo
Year2010
Edition0
Translation No
Refereed No
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