Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 47, Number 1 (2010), 17-32.
Generic initial ideals and fibre products
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.
Osaka J. Math., Volume 47, Number 1 (2010), 17-32.
First available in Project Euclid: 19 February 2010
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 13C99: None of the above, but in this section 13P10: Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
Secondary: 13F55: Stanley-Reisner face rings; simplicial complexes [See also 55U10]
Conca, Aldo; Römer, Tim. Generic initial ideals and fibre products. Osaka J. Math. 47 (2010), no. 1, 17--32. https://projecteuclid.org/euclid.ojm/1266586783