Elimination with applications to singularities in positive characteristic
Orlando E. Villamayor
Abstract
Open-access reader
Orlando E. Villamayor
Abstract
Open-access reader
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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