On taut singularities in arbitrary characteristics

Felix Schüller

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arXiv · 1303.6128

On taut singularities in arbitrary characteristics

Felix Schüller

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Abstract

Over $\C$, Henry Laufer classified all taut surface singularities. We adapt and extent his transcendental methods to positive characteristic. With this we show that if a normal surface singularity is taut over $\C$, then the normal surface singularities with isomorphic dual graph over algebraically closed fields of characteristic exponent $p>1$ are taut for all but finitely many $p$. We conjecture that this is actually "if and only if".

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Felix Schüller. 2013-03-25. On taut singularities in arbitrary characteristics. https://arxiv.org/abs/1303.6128

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