On Rees Algebras with a Gorenstein Veronese Subring
β Scribed by M Herrmann; E Hyry; T Korb
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 374 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
In this note we give a formula for the multiplicities of homogenous Gorenstein algebras. Herzog, Huneke, and Srinivasan have conjectured bounds for the multiplicities of homogeneous CohenαMacaulay algebras. Herzog and Srinivasan have proved this conjecture for C-M algebras with quasi-pure resolution
We consider certain regular algebras of global dimension four that map surjectively onto the two-Veronese of a regular algebra of global dimension three on two generators. We also study the point modules.
We show that for every uncountable regular K and every K-complete Boolean algebra B of density 5 K there is a filter F B such that the number of partitions of length < K modulo F is 5 2'". We apply this to Boolean algebras of the form P ( X ) / I , where I is a n-complete K-dense ideal on X .
Let r= (AS' %, 6,, : nEN) be an inductive system on X. We denote by 8r the )9n+\* I Sn58nn).
Under the assumption that we have defining equations of an affine algebraic curve in special position with respect to a rational place Q, we propose an algorithm computing a basis of L(D) of a divisor D from an ideal basis of the ideal L(D + βQ) of the affine coordinate ring L(βQ) of the given algeb