Gorenstein algebras presented by quadrics

Juan Migliore; Uwe Nagel

doi:10.1007/s13348-012-0076-x

Gorenstein algebras presented by quadrics

Juan Migliore, Uwe Nagel

Mathematics

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

17 Scopus citations

Abstract

We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide evidence for them by proving them in some cases using a number of different techniques, including liaison theory and generic initial ideals.

Original language	English
Pages (from-to)	211-233
Number of pages	23
Journal	Collectanea Mathematica
Volume	64
Issue number	2
DOIs	https://doi.org/10.1007/s13348-012-0076-x
State	Published - May 2013

Bibliographical note

Funding Information:
Part of the work for this paper was done while the second author was sponsored by the National Security Agency under Grant Number H98230-07-1-0065 and H98230-09-1-0032.

Funding Information:
Part of the work for this paper was done while the first author was sponsored by the National Security Agency under Grant Number H98230-07-1-0036 and H98230-09-1-0031.

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1007/s13348-012-0076-x

Cite this

@article{315c072c2a6d47639f792c36549be545,

title = "Gorenstein algebras presented by quadrics",

abstract = "We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide evidence for them by proving them in some cases using a number of different techniques, including liaison theory and generic initial ideals.",

author = "Juan Migliore and Uwe Nagel",

note = "Funding Information: Part of the work for this paper was done while the second author was sponsored by the National Security Agency under Grant Number H98230-07-1-0065 and H98230-09-1-0032. Funding Information: Part of the work for this paper was done while the first author was sponsored by the National Security Agency under Grant Number H98230-07-1-0036 and H98230-09-1-0031. ",

year = "2013",

month = may,

doi = "10.1007/s13348-012-0076-x",

language = "English",

volume = "64",

pages = "211--233",

number = "2",

}

TY - JOUR

T1 - Gorenstein algebras presented by quadrics

AU - Migliore, Juan

AU - Nagel, Uwe

N1 - Funding Information: Part of the work for this paper was done while the second author was sponsored by the National Security Agency under Grant Number H98230-07-1-0065 and H98230-09-1-0032. Funding Information: Part of the work for this paper was done while the first author was sponsored by the National Security Agency under Grant Number H98230-07-1-0036 and H98230-09-1-0031.

PY - 2013/5

Y1 - 2013/5

N2 - We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide evidence for them by proving them in some cases using a number of different techniques, including liaison theory and generic initial ideals.

AB - We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide evidence for them by proving them in some cases using a number of different techniques, including liaison theory and generic initial ideals.

UR - http://www.scopus.com/inward/record.url?scp=84876188307&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876188307&partnerID=8YFLogxK

U2 - 10.1007/s13348-012-0076-x

DO - 10.1007/s13348-012-0076-x

M3 - Article

AN - SCOPUS:84876188307

SN - 0010-0757

VL - 64

SP - 211

EP - 233

JO - Collectanea Mathematica

JF - Collectanea Mathematica

IS - 2

ER -

Gorenstein algebras presented by quadrics

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this