Motivic volumes of fibers of tropicalization

DOI10.4171/PM/2045zbMath1460.14038arXiv1805.08372OpenAlexW3083869200MaRDI QIDQ2211448

Jeremy Usatine

Publication date: 11 November 2020

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08372

zbMATH Keywords

motivic zeta functionsgeometric tropicalization

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) Arcs and motivic integration (14E18)

Cites Work

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• Algebraization and Tannaka duality
• Toroidal embeddings. I
• Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces
• The Nash problem on arc families of singularities
• Newton polyhedra and Igusa's local zeta function
• Motivic integration
• Tropical refined curve counting via motivic integration
• Arc spaces and Alexander invariants
• The arc space of a toric variety
• Computing motivic zeta functions on log smooth models
• A tropical motivic Fubini theorem with applications to Donaldson-Thomas Theory
• Some results on tropical compactifications
• Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
• Compactifications of subvarieties of tori

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