Turkish Journal of Mathematics
DOI
10.3906/mat-1411-45
Abstract
Veronese rings, Segre embeddings, or more generally Segre--Veronese embeddings are very important rings in algebraic geometry. In this paper we present an original, elementary way to compute the Hilbert--Poincar\'e series of these rings; as a consequence we compute their Castelnuovo--Mumford regularity and also the highest graded Betti number. Moreover, using the Castelnuovo--Mumford regularity of a Cohen--Macaulay finitely generated graded module, we compute that of its Veronese transforms.
First Page
838
Last Page
849
Recommended Citation
MORALES, MARCEL and DUNG, NGUYEN THI
(2016)
"Veronese transform and Castelnuovo-Mumford regularity of modules,"
Turkish Journal of Mathematics: Vol. 40:
No.
4, Article 13.
https://doi.org/10.3906/mat-1411-45
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss4/13
