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Originalsprache | Englisch |
---|---|
Seitenumfang | 48 |
Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 31 Aug. 2016 |
Abstract
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2016.
Publikation: Arbeitspapier/Preprint › Preprint
}
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 -