A MODULI STACK OF TROPICAL CURVES
From MaRDI portal
Publication:5112005
DOI10.1017/fms.2020.16zbMath1444.14005arXiv1704.03806OpenAlexW3104267093MaRDI QIDQ5112005
Renzo Cavalieri, Jonathan Wise, Melody Chan, Martin Ulirsch
Publication date: 27 May 2020
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.03806
Geometric aspects of tropical varieties (14T20) Generalizations (algebraic spaces, stacks) (14A20) Logarithmic algebraic geometry, log schemes (14A21)
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Cites Work
- Unnamed Item
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- Tropicalizing the space of admissible covers
- Higher analytic stacks and GAGA theorems
- Comparison theorems for Gromov-Witten invariants of smooth pairs and of degenerations
- Equations of tropical varieties
- On the tropical Torelli map
- Toroidal embeddings. I
- Descent for nonarchimedean analytic spaces
- Toric degenerations of toric varieties and tropical curves
- Tropicalization of the moduli space of stable maps
- Intersection theory on algebraic stacks and on their moduli spaces
- Algebraization of complex analytic varieties and derived categories.
- Torelli theorem for graphs and tropical curves
- Étale cohomology for non-Archimedean analytic spaces
- Gromov compactness in non-archimedean analytic geometry
- Tropicalization is a non-Archimedean analytic stack quotient
- Clutching and gluing in tropical and logarithmic geometry
- Non-Archimedean geometry of Artin fans
- log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\)
- Combinatorics of the tropical Torelli map
- Weak semistable reduction in characteristic 0
- Universal stacky semistable reduction
- Moduli of stable maps in genus one and logarithmic geometry. I
- Tropical schemes, tropical cycles, and valuated matroids
- Moduli of stable maps in genus one and logarithmic geometry. II
- Linear series on metrized complexes of algebraic curves
- Boundedness of the space of stable logarithmic maps
- Kontsevich's formula and the WDVV equations in tropical geometry
- The irreducibility of the space of curves of a given genus
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- Logarithmic Picard groups, chip firing, and the combinatorial rank
- Toroidal geometry and non-archimedean analytic geometry. Application to the homotopy type of certain formal schemes
- LOG SMOOTH DEFORMATION AND MODULI OF LOG SMOOTH CURVES
- Skeletons and Fans of Logarithmic Structures
- Tropical Teichmuller and Siegel spaces
- Tropicalizing vs. compactifying the Torelli morphism
- Logarithmic Geometry and Moduli
- Algebraic and tropical curves: comparing their moduli spaces
- Logarithmic geometry and algebraic stacks
- Tropical geometry of moduli spaces of weighted stable curves
- The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
- The tropicalization of the moduli space of curves
- Tropical fans and the moduli spaces of tropical curves
- Moduli spaces of rational tropical curves
- Logarithmic structures of Fontaine-Illusie. II
- Toric Singularities
- Twisted Bundles and Admissible Covers
- Intersection theory on tropicalizations of toroidal embeddings
- Birational invariance in logarithmic Gromov–Witten theory
- Tropical ideals
- Universal Families of Rational Tropical Curves
- Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ}
- Topology of Moduli Spaces of Tropical Curves with Marked Points
- Tropical methods in the moduli theory of algebraic curves
- Skeletons of stable maps I: rational curves in toric varieties
- Functorial tropicalization of logarithmic schemes: the case of constant coefficients
- Homotopical algebraic geometry. II. Geometric stacks and applications
- Toric stacks I: The theory of stacky fans
- MODULI SPACES OF RATIONAL WEIGHTED STABLE CURVES AND TROPICAL GEOMETRY
- The logarithmic Picard group and its tropicalization
