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Rees algebras of conormal modules

Authors: Hong, Jooyoun;

Rees algebras of conormal modules

Abstract

We deal with classes of prime ideals whose associated graded ring is isomorphic to the Rees algebra of the conormal module in order to describe the divisor class group of the Rees algebra and to examine the normality of the conormal module.

This paper is based on the Ph.D. dissertation of the author

Keywords

Algebra and Number Theory, Cohen-Macaulay ring, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Gorenstein local ring, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 13H10, 13B21, 13C20, Class groups, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, associated graded ring, FOS: Mathematics, Integral dependence in commutative rings; going up, going down

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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