6533b7dbfe1ef96bd1270a33

RESEARCH PRODUCT

The F-pure threshold of quasi-homogeneous polynomials

Susanne Müller

subject

Work (thermodynamics)PolynomialAlgebra and Number TheoryDegree (graph theory)010102 general mathematics01 natural sciencesCombinatoricsMathematics - Algebraic GeometryMathematics::Algebraic GeometryHypersurfaceHomogeneous0103 physical sciencesFOS: Mathematics010307 mathematical physics0101 mathematicsAlgebraic Geometry (math.AG)Mathematics

description

Abstract Inspired by the work of Bhatt and Singh [3] we compute the F-pure threshold of quasi-homogeneous polynomials. We first consider the case of a curve given by a quasi-homogeneous polynomial f in three variables x , y , z of degree equal to the degree of xyz and then we proceed with the general case of a Calabi–Yau hypersurface, i.e. a hypersurface given by a quasi-homogeneous polynomial f in n + 1 variables x 0 , … , x n of degree equal to the degree of x 0 ⋯ x n .

yearjournalcountryeditionlanguage
2018-01-01Journal of Pure and Applied Algebra
https://doi.org/10.1016/j.jpaa.2017.03.005