Veronese transform and Castelnuovo--Mumford regularity of modules | Zendy

Marcel Moralès | Zendy; Nguyễn Thị Phương Dung | Zendy

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Veronese transform and Castelnuovo--Mumford regularity of modules

Author(s) -

Marcel Moralès,

Nguyễn Thị Phương Dung

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1411-45

Subject(s) - mathematics , pure mathematics , betti number , algebraic number , algebra over a field , hilbert–poincaré series , algebraic geometry , mathematical analysis

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 nitely generated graded module,

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