Appendix C Mathematical background
**********************************


This chapter introduces some of the mathematical notions and definitions used
throughout the manual. It is mostly a collection of the
most prominent definitions and properties. For details, please, refer to
some articles or text books (see References).

* Standard bases::
* Hilbert function::
* Syzygies and resolutions::
* Characteristic sets::
* Gauss-Manin connection::
* Toric ideals and integer programming::
* References::
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