BLOWUP ALGEBRAS OF n-DIMENSIONAL FERRERS DIAGRAMS

Kuei Nuan Lin; Yi Huang Shen

doi:10.1090/proc/17249

BLOWUP ALGEBRAS OF n-DIMENSIONAL FERRERS DIAGRAMS

Kuei Nuan Lin, Yi Huang Shen

Penn State Greater Allegheny

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

Abstract

We demonstrate that the direct sum of ideals satisfying the strong ℓ-exchange property is of fiber type. Furthermore, we provide Gröbner bases of the presentation ideals of multi-Rees algebras and the corresponding special fibers, when they are associated with an n-dimensional Ferrers diagram that is standardizable. In particular, we show that these blowup algebras are Koszul Cohen–Macaulay normal domains and classify their singularities.

Original language	English (US)
Pages (from-to)	2269-2282
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	153
Issue number	6
DOIs	https://doi.org/10.1090/proc/17249
State	Published - Jun 2025

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/proc/17249

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abstract = "We demonstrate that the direct sum of ideals satisfying the strong ℓ-exchange property is of fiber type. Furthermore, we provide Gr{\"o}bner bases of the presentation ideals of multi-Rees algebras and the corresponding special fibers, when they are associated with an n-dimensional Ferrers diagram that is standardizable. In particular, we show that these blowup algebras are Koszul Cohen–Macaulay normal domains and classify their singularities.",

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BLOWUP ALGEBRAS OF n-DIMENSIONAL FERRERS DIAGRAMS

Abstract

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