Orbifold Jacobian algebras for invertible polynomials. (English) Zbl 1541.14055
Summary: 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 \(\mathbb{Z}/2\mathbb{Z}\)-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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| [20] | A. Basalaev, Faculty of Mathematics, National Research University Higher School of Economics, Usacheva str., 6, 119048 Moscow, Russian Federation, and Skolkovo Institute of Science and Technology, Nobelya str., 3, 121205 Moscow, Russian Federation Email address: a.basalaev@skoltech.ru |
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