Seminormal graded rings and weakly normal projective varieties

Author:

Leahy John V.1,Vitulli Marie A.2

Affiliation:

1. Institute of Theoretical Sciences, Department of Mathematics, University of Oregon, Eugene 97403, Oregon, USA

2. Department of Mathematics, University of Oregon, Eugene 97403, Oregon, USA

Abstract

This paper is concerned with the seminormality of reduced graded rings and the weak normality of projective varieties. One motivation for this investigation is the study of the procedure of blowing up a non-weakly normal variety along its conductor ideal.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Weak normalization in graded extensions and weak subintegral closure of ideals;Journal of Pure and Applied Algebra;2020-02

2. Monomial subrings and systems of subintegrality;Journal of Pure and Applied Algebra;2000-08

3. Subintegrality and Invertible Modules in Graded Rings;Journal of Algebra;1999-07

4. The weak subintegral closure of a monomial ideal;Communications in Algebra;1999-01

5. The algebra of glued polynomials on an arrangement of hyperplanes;Journal of Pure and Applied Algebra;1994-08

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