Invariants of artinian gorenstein algebras and isolated hypersurface singularities

Michael Eastwood; Alexander Isaev

doi:10.1007/978-3-319-09804-3__7

Invariants of artinian gorenstein algebras and isolated hypersurface singularities

Michael Eastwood^*, Alexander Isaev

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

We survey our recently proposed method for constructing biholomorphic invariants of quasihomogeneous isolated hypersurface singularities and, more generally, invariants of graded Artinian Gorenstein algebras. The method utilizes certain polynomials associated to such algebras, called nil-polynomials, and we compare them with two other classes of polynomials that have also been used to produce invariants.

Original language	English
Pages (from-to)	159-173
Number of pages	15
Journal	Developments in Mathematics
Volume	38
DOIs	https://doi.org/10.1007/978-3-319-09804-3__7
Publication status	Published - 2014

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title = "Invariants of artinian gorenstein algebras and isolated hypersurface singularities",

abstract = "We survey our recently proposed method for constructing biholomorphic invariants of quasihomogeneous isolated hypersurface singularities and, more generally, invariants of graded Artinian Gorenstein algebras. The method utilizes certain polynomials associated to such algebras, called nil-polynomials, and we compare them with two other classes of polynomials that have also been used to produce invariants.",

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author = "Michael Eastwood and Alexander Isaev",

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AU - Eastwood, Michael

AU - Isaev, Alexander

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2014.

PY - 2014

Y1 - 2014

N2 - We survey our recently proposed method for constructing biholomorphic invariants of quasihomogeneous isolated hypersurface singularities and, more generally, invariants of graded Artinian Gorenstein algebras. The method utilizes certain polynomials associated to such algebras, called nil-polynomials, and we compare them with two other classes of polynomials that have also been used to produce invariants.

AB - We survey our recently proposed method for constructing biholomorphic invariants of quasihomogeneous isolated hypersurface singularities and, more generally, invariants of graded Artinian Gorenstein algebras. The method utilizes certain polynomials associated to such algebras, called nil-polynomials, and we compare them with two other classes of polynomials that have also been used to produce invariants.

KW - Artinian Gorenstein algebras

KW - Isolated hypersurface singularities

UR - https://www.scopus.com/pages/publications/84921648534

U2 - 10.1007/978-3-319-09804-3__7

DO - 10.1007/978-3-319-09804-3__7

M3 - Article

AN - SCOPUS:84921648534

SN - 1389-2177

VL - 38

SP - 159

EP - 173

JO - Developments in Mathematics

JF - Developments in Mathematics

ER -

Invariants of artinian gorenstein algebras and isolated hypersurface singularities

Abstract

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