Gorenstein semigroup algebras of weighted trees and ordered points on the projective line

Christopher Manon

doi:10.1016/j.jalgebra.2011.12.025

Gorenstein semigroup algebras of weighted trees and ordered points on the projective line

Christopher Manon

Mathematics

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

3 Scopus citations

Abstract

We determine exactly which semigroup algebras of weighted trees are Gorenstein. These algebras arise as toric degenerations of projective coordinate rings of moduli of weighted points on the projective line. As a corollary, we find exactly when these families of algebras are Gorenstein as well.

Original language	English
Pages (from-to)	110-120
Number of pages	11
Journal	Journal of Algebra
Volume	354
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.12.025
State	Published - Mar 15 2012

Bibliographical note

Funding Information:
E-mail address: [email protected]. 1 The author was supported by the NSF FRG grant DMS-0554254.

Funding

E-mail address: [email protected]. 1 The author was supported by the NSF FRG grant DMS-0554254.

Funders	Funder number
NSF FRG	DMS-0554254
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	0554254

Keywords

Gorenstein algebra
Moduli of points
Toric degeneration

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2011.12.025

Cite this

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title = "Gorenstein semigroup algebras of weighted trees and ordered points on the projective line",

abstract = "We determine exactly which semigroup algebras of weighted trees are Gorenstein. These algebras arise as toric degenerations of projective coordinate rings of moduli of weighted points on the projective line. As a corollary, we find exactly when these families of algebras are Gorenstein as well.",

keywords = "Gorenstein algebra, Moduli of points, Toric degeneration",

author = "Christopher Manon",

note = "Funding Information: E-mail address: [email protected]. 1 The author was supported by the NSF FRG grant DMS-0554254.",

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AU - Manon, Christopher

N1 - Funding Information: E-mail address: [email protected]. 1 The author was supported by the NSF FRG grant DMS-0554254.

PY - 2012/3/15

Y1 - 2012/3/15

N2 - We determine exactly which semigroup algebras of weighted trees are Gorenstein. These algebras arise as toric degenerations of projective coordinate rings of moduli of weighted points on the projective line. As a corollary, we find exactly when these families of algebras are Gorenstein as well.

AB - We determine exactly which semigroup algebras of weighted trees are Gorenstein. These algebras arise as toric degenerations of projective coordinate rings of moduli of weighted points on the projective line. As a corollary, we find exactly when these families of algebras are Gorenstein as well.

KW - Gorenstein algebra

KW - Moduli of points

KW - Toric degeneration

UR - https://www.scopus.com/pages/publications/84856383976

UR - https://www.scopus.com/inward/citedby.url?scp=84856383976&partnerID=8YFLogxK

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DO - 10.1016/j.jalgebra.2011.12.025

M3 - Article

AN - SCOPUS:84856383976

SN - 0021-8693

VL - 354

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JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Gorenstein semigroup algebras of weighted trees and ordered points on the projective line

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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