2007arXiv (Cornell University)Open access

Elimination with applications to singularities in positive characteristic

Orlando E. Villamayor

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Abstract

We present an application of elimination theory to the study of singularities over arbitrary fields, particularly to the open problem of resolution. A partial extension of a function, defining resolution of singularities over fields of characteristic zero, is discussed here in positive characteristic.

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We present an application of elimination theory to the study of singularities over arbitrary fields, particularly to the open problem of resolution. A partial extension of a function, defining resolution of singularities over fields of characteristic zero, is discussed here in positive characteristic.

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We present an application of elimination theory to the study of singularities over arbitrary fields, particularly to the open problem of resolution. A partial extension of a function, defining resolution of singularities over fields of characteristic zero, is discussed here in positive characteristic.

Key concepts: Gravitational singularity, Resolution of singularities, Zero (linguistics), Extension (predicate logic), Resolution (logic), Mathematics, Function (biology), Pure mathematics

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