Orbifold Jacobian algebras for invertible polynomials

Publikation: Arbeitspapier/Preprint › Preprint

Autoren

  • Alexey Basalaev
  • Atsushi Takahashi
  • Elisabeth Werner

Organisationseinheiten

Externe Organisationen

  • Osaka University
  • Universität Mannheim
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seitenumfang48
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 31 Aug. 2016

Abstract

An important invariant of a polynomial f is its Jacobian algebra defined by its partial derivatives. Let f be invariant with respect to the action of a finite group of diagonal symmetries G. We axiomatically define an orbifold Jacobian Z/2Z-graded algebra for the pair (f,G) and show its existence and uniqueness in the case, when f is an invertible polynomial. In case when f defines an ADE singularity, we illustrate its geometric meaning.

Zitieren

Orbifold Jacobian algebras for invertible polynomials. / Basalaev, Alexey; Takahashi, Atsushi; Werner, Elisabeth.
2016.

Publikation: Arbeitspapier/Preprint › Preprint

Basalaev, A., Takahashi, A., & Werner, E. (2016). Orbifold Jacobian algebras for invertible polynomials. Vorabveröffentlichung online. https://arxiv.org/abs/1608.08962
Basalaev A, Takahashi A, Werner E. Orbifold Jacobian algebras for invertible polynomials. 2016 Aug 31. Epub 2016 Aug 31.
Basalaev, Alexey ; Takahashi, Atsushi ; Werner, Elisabeth. / Orbifold Jacobian algebras for invertible polynomials. 2016.
Download
@techreport{fed49cb9b9e74f8d9ffe972cb8606e67,
title = "Orbifold Jacobian algebras for invertible polynomials",
abstract = "An important invariant of a polynomial f is its Jacobian algebra defined by its partial derivatives. Let f be invariant with respect to the action of a finite group of diagonal symmetries G. We axiomatically define an orbifold Jacobian Z/2Z-graded algebra for the pair (f,G) and show its existence and uniqueness in the case, when f is an invertible polynomial. In case when f defines an ADE singularity, we illustrate its geometric meaning. ",
author = "Alexey Basalaev and Atsushi Takahashi and Elisabeth Werner",
year = "2016",
month = aug,
day = "31",
language = "English",
type = "WorkingPaper",

}

Download

TY - UNPB

T1 - Orbifold Jacobian algebras for invertible polynomials

AU - Basalaev, Alexey

AU - Takahashi, Atsushi

AU - Werner, Elisabeth

PY - 2016/8/31

Y1 - 2016/8/31

N2 - An important invariant of a polynomial f is its Jacobian algebra defined by its partial derivatives. Let f be invariant with respect to the action of a finite group of diagonal symmetries G. We axiomatically define an orbifold Jacobian Z/2Z-graded algebra for the pair (f,G) and show its existence and uniqueness in the case, when f is an invertible polynomial. In case when f defines an ADE singularity, we illustrate its geometric meaning.

AB - An important invariant of a polynomial f is its Jacobian algebra defined by its partial derivatives. Let f be invariant with respect to the action of a finite group of diagonal symmetries G. We axiomatically define an orbifold Jacobian Z/2Z-graded algebra for the pair (f,G) and show its existence and uniqueness in the case, when f is an invertible polynomial. In case when f defines an ADE singularity, we illustrate its geometric meaning.

M3 - Preprint

BT - Orbifold Jacobian algebras for invertible polynomials

ER -