ELIMINATION THEORY FOR TROPICAL VARIETIES
By Bernd Sturmfels, Jenia Tevelev. 2007
117 citations recorded by the source corpus.
Tropical algebraic geometry offers new tools for elimination theory and implicitization. We determine the tropicalization of the image of a subvariety of an algebraic torus under any homomorphism from that torus to another torus.
Subfields: Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/305427438b3d1bad3d63dd714164489da2131605
How researchers see this paper
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In Computational Theory and Mathematics
- Sam Payne
- Matthew Baker
- Joseph Rabinoff
- Johannes Rau
- David Jensen
- Lars Allermann
- Eric Katz
- Walter Gubler
In Geometry and Topology
- Sam Payne
- Matthew Baker
- Joseph Rabinoff
- David Jensen
- Johannes Rau
- Lars Allermann
- Eric Katz
- Dhruv Ranganathan
Citations in the corpus
- Nonarchimedean geometry, tropicalization, and metrics on curves (2011, background): “(as a weighted polyhedral complex) in terms of Trop(X) when α: T →T′ is a homomorphism of tori which induces a generically finite map from a subvariety Xin Tonto its image. The multiplicity formula in [ST08] is formulated and proved in the ‘constant coefficient’ setting, where Kis the field of Puiseux ”
- First steps in tropical intersection theory (2007, background): “In [ ST ] the authors study homomorphisms of tori and their induced morphisms of toric varieties and tropical varieties, respectively.”