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arXiv · 0904.2834

Tropical and algebraic curves with multiple points

Eugenii Shustin
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Abstract

Patchworking theorems serve as a basic element of the correspondence between tropical and algebraic curves, which is a core of the tropical enumerative geometry. We present a new version of a patchworking theorem which relates plane tropical curves with complex and real algebraic curves having prescribed multiple points. It can be used to compute Welschinger invariants of non-toric Del Pezzo surfaces.

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Eugenii Shustin. 2009-11-01. Tropical and algebraic curves with multiple points. https://arxiv.org/abs/0904.2834

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