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Analytification is the limit of all tropicalizations

Mathematical research letters, 2009, Vol.16 (3), p.543-556

Payne, Sam

2009

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The tropicalization of the moduli space of curves

Annales scientifiques de l'École normale supérieure, 2015, Vol.48 (4), p.765-809

2015

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Compactified Jacobians as Mumford models

Transactions of the American Mathematical Society, 2023-07, Vol.376 (7), p.4605-4630

2023

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A tropical proof of the Brill–Noether Theorem

Advances in mathematics (New York. 1965), 2012-06, Vol.230 (2), p.759-776

2012

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Toric vector bundles, branched covers of fans, and the resolution property

Journal of algebraic geometry, 2009-01, Vol.18 (1), p.1-36

Payne, Sam

2009

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Nonarchimedean geometry, tropicalization, and metrics on curves

Algebraic geometry, 2016-01, Vol.3 (1), p.63-105

2016

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The eleventh cohomology group of $\overline {\mathcal {M}}_{g,n}

Forum of mathematics. Sigma, 2023-07, Vol.11

2023

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Lifting Divisors on a Generic Chain of Loops

Canadian mathematical bulletin, 2015-06, Vol.58 (2), p.250-262

2015

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Diagonal splittings of toric varieties and unimodularity

Proceedings of the American Mathematical Society, 2018-05, Vol.146 (5), p.1911-1920

2018

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Impact of Socioeconomic Factors on Time to Surgery for Distal Radius Fractures

Plastic and reconstructive surgery. Global open, 2024-05, Vol.12 (5), p.e5838

2024

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Weight 11 Compactly Supported Cohomology of Moduli Spaces of Curves

International mathematics research notices, 2024-04, Vol.2024 (8), p.7060-7098

2024

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A Note on Brill–Noether Theory and Rank-Determining Sets for Metric Graphs

International mathematics research notices, 2012-01, Vol.2012 (23), p.5484-5504

2012

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A tropical motivic Fubini theorem with applications to Donaldson–Thomas theory

Duke mathematical journal, 2019-07, Vol.168 (10)

2019

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Nonarchimedean and Tropical Geometry

1st ed. 2016 edition., 2016

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Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry

Bulletin (new series) of the American Mathematical Society, 2015-04, Vol.52 (2), p.223-247

Payne, Sam

2015

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Stable base loci, movable curves, and small modifications, for toric varieties

Mathematische Zeitschrift, 2006-03, Vol.253 (2), p.421-431

Payne, Sam

2006

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Avoidance loci and tropicalizations of real bitangents to plane quartics

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2024-08, Vol.154 (4), p.1308-1312

2024

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Fujita's very ampleness conjecture for singular toric varieties

Tôhoku mathematical journal, 2006-09, Vol.58 (3)

Payne, Sam

2006

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The nonabelian Brill–Noether divisor on ℳ13 and the Kodaira dimension of ℛ13

Geometry & topology, 2024-03, Vol.28 (2), p.803-866

2024

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Tropical independence, II: The maximal rank conjecture for quadrics

Algebra & Number Theory, 2016-01, Vol.10 (8), p.1601-1640

2016

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Piecewise polynomials, Minkowski weights, and localization on toric varieties

Algebra & Number Theory, 2008-03, Vol.2 (2), p.135-155

2008

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Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves

Annals of mathematics, 2024-05, Vol.199 (3), p.1323

2024

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Operational $K$-theory

Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung., 2015, Vol.20, p.357-399

2015

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Cayley decompositions of lattice polytopes and upper bounds for h-polynomials

Journal für die reine und angewandte Mathematik, 2009, Vol.2009 (637), p.207-216

2009

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K-rings of wonderful varieties and matroids

Advances in mathematics (New York. 1965), 2024-04, Vol.441, p.109554, Article 109554

2024

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Analytification is the limit of all tropicalizations

The tropicalization of the moduli space of curves

Compactified Jacobians as Mumford models

A tropical proof of the Brill–Noether Theorem

Toric vector bundles, branched covers of fans, and the resolution property

Nonarchimedean geometry, tropicalization, and metrics on curves

The eleventh cohomology group of $\overline {\mathcal {M}}_{g,n}

Lifting Divisors on a Generic Chain of Loops

Diagonal splittings of toric varieties and unimodularity

Impact of Socioeconomic Factors on Time to Surgery for Distal Radius Fractures

Weight 11 Compactly Supported Cohomology of Moduli Spaces of Curves

A Note on Brill–Noether Theory and Rank-Determining Sets for Metric Graphs

A tropical motivic Fubini theorem with applications to Donaldson–Thomas theory

Nonarchimedean and Tropical Geometry

Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry

Stable base loci, movable curves, and small modifications, for toric varieties

Avoidance loci and tropicalizations of real bitangents to plane quartics

Fujita's very ampleness conjecture for singular toric varieties

The nonabelian Brill–Noether divisor on ℳ13 and the Kodaira dimension of ℛ13

Tropical independence, II: The maximal rank conjecture for quadrics

Piecewise polynomials, Minkowski weights, and localization on toric varieties

Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves

Operational $K$-theory

Cayley decompositions of lattice polytopes and upper bounds for h-polynomials

K-rings of wonderful varieties and matroids

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