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Extending Singular with New Types and Algorithms

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Book cover Mathematical Software – ICMS 2016 (ICMS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9725))

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Abstract

Singular is a comprehensive and steadily growing computer algebra system, with particular emphasis on applications in algebraic geometry, commutative algebra, and singularity theory. Singular can easily be extended by other tools provided as C or C++ library: gfan and polymake will be discussed as an example.

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References

  1. Decker, W., Greuel, G.-M., Pfister, G., Schönemann, H.: SINGULAR 4-0-3 – a computer algebra system for polynomial computations (2016). http://www.singular.uni-kl.de

  2. Gawrilow, E., Joswig, M.: POLYMAKE: a framework for analyzing convex polytopes. In: Polytopes Combinatorics and Computation, Oberwolfach, 1997. DMV Seminar, vol. 29, pp. 43–73. Birkhäuser, Basel. MR1785292 (2001f:52033) (2000). https://polymake.org/

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  3. Jensen, A.: GFAN (2011). http://home.math.au.dk/jensen/software/gfan/gfan.html

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Correspondence to Hans Schönemann .

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© 2016 Springer International Publishing Switzerland

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Schönemann, H. (2016). Extending Singular with New Types and Algorithms. In: Greuel, GM., Koch, T., Paule, P., Sommese, A. (eds) Mathematical Software – ICMS 2016. ICMS 2016. Lecture Notes in Computer Science(), vol 9725. Springer, Cham. https://doi.org/10.1007/978-3-319-42432-3_14

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  • DOI: https://doi.org/10.1007/978-3-319-42432-3_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42431-6

  • Online ISBN: 978-3-319-42432-3

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