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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

- Douglas A. Leonard <leonada@auburn.edu>

## Version

This documentation describes version 1.0 of FunctionFieldDesingularization, released September 13, 2021.

## 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/stable/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 /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/FunctionFieldDesingularization.m2:583:0.