Generic initial ideals and fibre products
Conca, Aldo ; Römer, Tim
Osaka J. Math., Tome 47 (2010) no. 1, p. 17-32 / Harvested from Project Euclid
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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.
Publié le : 2010-03-15
Classification:  13C99,  13P10,  13F55 
@article{1266586783,
     author = {Conca, Aldo and R\"omer, Tim},
     title = {Generic initial ideals and fibre products},
     journal = {Osaka J. Math.},
     volume = {47},
     number = {1},
     year = {2010},
     pages = { 17-32},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1266586783}
}

Conca, Aldo; Römer, Tim. Generic initial ideals and fibre products. Osaka J. Math., Tome 47 (2010) no. 1, pp.  17-32. http://gdmltest.u-ga.fr/item/1266586783/