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Tropical algebraic geometry

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arxiv math/0601322 v1 pith:H5HITR5P submitted 2006-01-13 math.AG

Andreas Gathmann This is my paper · ORCID
classification math.AG
keywords geometryalgebraicproblemstropicalactivealgebro-geometricapplicationscombinatorial
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Tropical algebraic geometry is an active new field of mathematics that establishes and studies some very general principles to translate algebro-geometric problems into purely combinatorial ones. This expository paper gives an introduction to these new techniques with a special emphasis on the recent applications to problems in enumerative geometry.

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  1. Tropical geometry in torus bundles

    math.AG 2025-08 conditional novelty 5.0 of 10

    For curves in a torus bundle, the weighted sum of tropical edge directions equals the Chern classes of the bundle line bundles evaluated on the curve's base class.

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