Depth formulas for the rees algebras of filtrations

Cortadellas, Teresa

doi:10.1080/00927879608825593

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2015

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Cited by 4 publications

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“…Then, R(F L ) is a finitely generated graded R(I )-module. This module has been extensively studied by T. Cortadellas and S. Zarzuela, [3][4][5][6], and recently by M. E. Rossi and G. Valla, [14]. They used this module and the corresponding associated graded module, G(F L ) = A/L ⊕ L/LI ⊕ LI /LI 2 ⊕ · · · , to study various properties of the fiber cone.…”

Section: Introductionmentioning

confidence: 98%

On the Relation Type of Fiber Cone

Jayanthan

Nanduri

2015

Acta Math Vietnam

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In this article, we study the relation type of the fiber cone of certain special classes of ideals in Noetherian local rings. We show that in any Noetherian local ring, if deviation of I is 1, and depth(G(F L )) ≥ − 1, then the relation types of R(I ) and F L (I ) are equal. We also prove that for lexsegment ideals in K [x, y], where K is a field, the relation types of the fiber cone and the Rees algebra are equal.

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Section: Introductionmentioning

confidence: 98%