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Homological Mirror Symmetry and Tropical Geometry [PDF]
Lecture Notes of the Unione Matematica Italiana, 2014 The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry.
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Computer Algebra Methods in Tropical Geometry
2010Tropical 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,
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What Tropical Geometry Tells Us about the Complexity of Linear Programming
SIAM Review, 2021Xavier Allamigeon +2 more
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Parametric Shortest-Path Algorithms via Tropical Geometry
Mathematics of Operations Research, 2022Michael Joswig, Benjamin Schröter
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Algebraic, tropical, and fuzzy geometry
Beitrage Zur Algebra Und Geometrie, 2011Walter W Wenzel, Andreas Dress
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Spherical Tropical Geometry: a Survey of Recent Developments
Acta Mathematica Sinica, English Series, 2018Kiumars Kaveh +2 more
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On the frontiers of polynomial computations in tropical geometry
Journal of Symbolic Computation, 2006Thorsten Theobald
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