A tropical toolkit
Copyright policy )A tropical toolkit
We give an introduction to Tropical Geometry and prove some results in Tropical Intersection Theory. The first part of this paper is an introduction to tropical geometry aimed at researchers in Algebraic Geometry from the point of view of degenerations of varieties using projective not-necessarily-normal toric varieties. The second part is a foundational account of tropical intersection theory with proofs of some new theorems relating it to classical intersection theory. Revised version includes many corrections, more examples, and improved exposition.
38 pages
- The University of Texas at Austin United States
14A15, Mathematics(all), Schemes and morphisms, Intersection theory, Toric varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, degenerations, Degenerations, Parametrization (Chow and Hilbert schemes), intersection theory, Mathematics - Algebraic Geometry, tropical geometry, Tropical Geometry, FOS: Mathematics, tropical varieties, Algebraic Geometry (math.AG), Tropical varieties, toric varieties
14A15, Mathematics(all), Schemes and morphisms, Intersection theory, Toric varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, degenerations, Degenerations, Parametrization (Chow and Hilbert schemes), intersection theory, Mathematics - Algebraic Geometry, tropical geometry, Tropical Geometry, FOS: Mathematics, tropical varieties, Algebraic Geometry (math.AG), Tropical varieties, toric varieties
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).33 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!