Geodesic
Orbifold Jacobian algebras for invertible polynomials
Journal of Singularities, Tome 26 (2023), pp. 92-127

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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. 
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     author = {Alexey Basalaev and Atsushi Takahashi, and Elisabeth Werner},
     title = {Orbifold {Jacobian} algebras for invertible polynomials},
     journal = {Journal of Singularities},
     pages = {92--127},
     publisher = {mathdoc},
     volume = {26},
     year = {2023},
     doi = {10.5427/jsing.2023.26f},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2023.26f/}
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Alexey Basalaev; Atsushi Takahashi,; Elisabeth Werner. Orbifold Jacobian algebras for invertible polynomials. Journal of Singularities, Tome 26 (2023), pp. 92-127. doi: 10.5427/jsing.2023.26f

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