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Computer Algebra Methods in Tropical Geometry

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6327))

Abstract

Tropical geometry is a young field of mathematics which allows to study properties of objects from algebraic geometry with the aid of methods from discrete mathematics, like convex geometry and combinatorics. There are different ways to introduce tropical varieties and to derive the connection between these and their algebraic counterparts.We use a way, where the connection is concrete and where Gröbner basis techniques can be used to to establish it in both directions.

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Markwig, T. (2010). Computer Algebra Methods in Tropical Geometry. In: Fukuda, K., Hoeven, J.v.d., Joswig, M., Takayama, N. (eds) Mathematical Software – ICMS 2010. ICMS 2010. Lecture Notes in Computer Science, vol 6327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15582-6_37

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  • DOI: https://doi.org/10.1007/978-3-642-15582-6_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15581-9

  • Online ISBN: 978-3-642-15582-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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