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FunctionFieldDesingularization -- Strong desingularization of a function field in arbitrary characteristic and dimension

Description

Strong desingularization of a function field in arbitrary characteristic and dimension, using the algorithm in the paper Desingularization of Function Fields, Leonard, arXiv1912.08663, December, 2019.

Author

Version

This documentation describes version 1.0 of FunctionFieldDesingularization.

Citation

If you have used this package in your research, please cite it as follows:

@misc{FunctionFieldDesingularizationSource,
  title = {{FunctionFieldDesingularization: desingularization of function fields. Version~1.0}},
  author = {Douglas A. Leonard},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/master/M2/Macaulay2/packages}}
}

Exports

  • Functions and commands
    • arcs -- prints node labels for the desingularization tree
    • negLexMatrix -- a local (series) monomial ordering matrix for the input of arcs
  • Methods
    • arcs(RingElement,Ideal,List,File) (missing documentation)
    • negLexMatrix(ZZ) (missing documentation)

For the programmer

The object FunctionFieldDesingularization is a package, defined in FunctionFieldDesingularization.m2.


The source of this document is in FunctionFieldDesingularization.m2:583:0.