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arXiv · 1601.08086

The F-pure threshold of quasi-homogeneous polynomials

Susanne Müller
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Abstract

Inspired by the work of Bhatt and Singh (see: arXiv:1307.1171) 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 $x_0, \ldots, x_n$ of degree equal to the degree of $x_0 \cdots x_n$.

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Susanne Müller. 2016-01-29. The F-pure threshold of quasi-homogeneous polynomials. https://arxiv.org/abs/1601.08086

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