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: chris.manon@math.berkeley.edu. 1 The author was supported by the NSF FRG grant DMS-0554254.

Keywords

Gorenstein algebra
Moduli of points
Toric degeneration

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2011.12.025

Cite this

@article{37b6d5da7b4e4eda8a1108590d115f07,

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: chris.manon@math.berkeley.edu. 1 The author was supported by the NSF FRG grant DMS-0554254.",

year = "2012",

month = mar,

day = "15",

doi = "10.1016/j.jalgebra.2011.12.025",

language = "English",

volume = "354",

pages = "110--120",

number = "1",

}

TY - JOUR

T1 - Gorenstein semigroup algebras of weighted trees and ordered points on the projective line

AU - Manon, Christopher

N1 - Funding Information: E-mail address: chris.manon@math.berkeley.edu. 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 - http://www.scopus.com/inward/record.url?scp=84856383976&partnerID=8YFLogxK

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

U2 - 10.1016/j.jalgebra.2011.12.025

DO - 10.1016/j.jalgebra.2011.12.025

M3 - Article

AN - SCOPUS:84856383976

VL - 354

SP - 110

EP - 120

IS - 1

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this