Cohen-Macaulayness of Rees algebras of diagonal ideals

Kuei Nuan Lin

doi:10.1216/JCA-2014-6-4-561

Cohen-Macaulayness of Rees algebras of diagonal ideals

Kuei Nuan Lin

Penn State Greater Allegheny

Research output: Contribution to journal › Article › peer-review

Abstract

Given two determinantal rings over a eld k, we consider the Rees algebra of the diagonal ideal, the kernel of the multiplication map. The special ber ring of the diagonal ideal is the homogeneous coordinate ring of the secant variety. When the Rees algebra and the symmetric algebra coincide, we show that the Rees algebra is Cohen- Macaulay.

Original language	English (US)
Pages (from-to)	561-586
Number of pages	26
Journal	Journal of Commutative Algebra
Volume	6
Issue number	4
DOIs	https://doi.org/10.1216/JCA-2014-6-4-561
State	Published - 2014

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1216/JCA-2014-6-4-561

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title = "Cohen-Macaulayness of Rees algebras of diagonal ideals",

abstract = "Given two determinantal rings over a eld k, we consider the Rees algebra of the diagonal ideal, the kernel of the multiplication map. The special ber ring of the diagonal ideal is the homogeneous coordinate ring of the secant variety. When the Rees algebra and the symmetric algebra coincide, we show that the Rees algebra is Cohen- Macaulay.",

author = "Lin, {Kuei Nuan}",

note = "Publisher Copyright: {\textcopyright} 2014 Rocky Mountain Mathematics Consortium.",

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AB - Given two determinantal rings over a eld k, we consider the Rees algebra of the diagonal ideal, the kernel of the multiplication map. The special ber ring of the diagonal ideal is the homogeneous coordinate ring of the secant variety. When the Rees algebra and the symmetric algebra coincide, we show that the Rees algebra is Cohen- Macaulay.

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Cohen-Macaulayness of Rees algebras of diagonal ideals

Abstract

All Science Journal Classification (ASJC) codes

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