Work

Universality for tropical and logarithmic maps

Year: 2024

Type: article

Abstract: We prove that every toric monoid appears in a space of maps from tropical curves to an orthant. It follows that spaces of logarithmic maps to Artin fans exhibit arbitrary toric singularities: a virtual universality theorem for logarithmic maps to pairs. The target rank depends on the chosen singularity: we show that the cone over the 7-gon never appears in a space of maps to a rank 1 target. We obtain similar results for tropical maps to affine space. Comment: 22 pages. Comments welcome. v4: Published version in journal style

Source: Épijournal de Géométrie Algébrique

DOI: 10.46298/epiga.2024.12349

Authors: Gabriel Corrigan, Navid Nabijou, Dan Simms

Institutions: University of Glasgow, Queen Mary University of London, University College London

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402555895

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