Stable degenerations of Cohen-Macaulay modules

Yuji Yoshino

doi:10.1016/j.jalgebra.2010.11.005

Stable degenerations of Cohen-Macaulay modules

Yuji Yoshino

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

10 Citations (Scopus)

Abstract

As a stable analogue of degenerations, we introduce the notion of stable degenerations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient conditions for the stable degeneration. These conditions will be helpful to see when a Cohen-Macaulay module degenerates to another.

Original language	English
Pages (from-to)	500-521
Number of pages	22
Journal	Journal of Algebra
Volume	332
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2010.11.005
Publication status	Published - Apr 15 2011

Keywords

Cohen-Macaulay module
Degeneration
Finite representation type
Isolated singularity
Stable category
Triangulated category

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2010.11.005

Cite this

@article{0b80f6a7b038436babbf228f2f4f11d1,

title = "Stable degenerations of Cohen-Macaulay modules",

abstract = "As a stable analogue of degenerations, we introduce the notion of stable degenerations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient conditions for the stable degeneration. These conditions will be helpful to see when a Cohen-Macaulay module degenerates to another.",

keywords = "Cohen-Macaulay module, Degeneration, Finite representation type, Isolated singularity, Stable category, Triangulated category",

author = "Yuji Yoshino",

year = "2011",

month = apr,

day = "15",

doi = "10.1016/j.jalgebra.2010.11.005",

language = "English",

volume = "332",

pages = "500--521",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Stable degenerations of Cohen-Macaulay modules

AU - Yoshino, Yuji

PY - 2011/4/15

Y1 - 2011/4/15

N2 - As a stable analogue of degenerations, we introduce the notion of stable degenerations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient conditions for the stable degeneration. These conditions will be helpful to see when a Cohen-Macaulay module degenerates to another.

AB - As a stable analogue of degenerations, we introduce the notion of stable degenerations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient conditions for the stable degeneration. These conditions will be helpful to see when a Cohen-Macaulay module degenerates to another.

KW - Cohen-Macaulay module

KW - Degeneration

KW - Finite representation type

KW - Isolated singularity

KW - Stable category

KW - Triangulated category

UR - http://www.scopus.com/inward/record.url?scp=79952195767&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952195767&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2010.11.005

DO - 10.1016/j.jalgebra.2010.11.005

M3 - Article

AN - SCOPUS:79952195767

SN - 0021-8693

VL - 332

SP - 500

EP - 521

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Stable degenerations of Cohen-Macaulay modules

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this