Castelnuovo-Mumford regularity and Segre-Veronese transform

Marcel Morales (1) , Dung Nguyen Thi (2)

1 IF - Institut Fourier
2 Thai Nguyen University of Agriculture and Foresty

Motivated by the paper of David A. Cox, and Evgeny Materov (2009), where is computed the Castelnuovo-Mumford regularity of the Segre Veronese embedding, we extend their result and compute the Castelnuovo-Mumford regularity of the Segre product of modules. Our proof is completely algebraic

Mots clés: Castelnuovo-Mumford regularity; Segre-Veronese; local cohomology; Cohen-Macaulay

Domaines: Algèbre commutative [math.AC]

Marcel Morales, Dung Nguyen Thi. Castelnuovo-Mumford regularity and Segre-Veronese transform. 2014. ⟨hal-00935880v1⟩