Tropical geometry

Snapshots of modern mathematics from Oberwolfach

Tropical geometry

What kind of strange spaces hide behind the enigmatic name of tropical geometry? In the tropics, just as in other geometries, one of the simplest objects is a line. Therefore, we begin our exploration by considering tropical lines. Afterwards, we take a look at tropical arithmetic and algebra, and describe how to define tropical curves using tropical polynomials.

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Mathematical subjects

Discrete Mathematics and Foundations
Geometry and Topology

Author(s)

Erwan Brugallé, Ilia Itenberg, Kristin Shaw, Oleg Viro

License

DOI (Digital Object Identifier)

10.14760/SNAP-2018-007-EN

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snapshots-2018-007.pdf

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snapshots: overview

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The ternary Goldbach Problem
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Matrixfaktorisierungen
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Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

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Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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