Universal stacky semistable reduction

DOI10.1007/s11856-021-2118-0zbMath1467.14005OpenAlexW3136133050MaRDI QIDQ2040184

Sam Molcho

Publication date: 12 July 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-021-2118-0

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Generalizations (algebraic spaces, stacks) (14A20) Stacks and moduli problems (14D23) Logarithmic algebraic geometry, log schemes (14A21) Foundations of tropical geometry and relations with algebra (14T10)

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Families of pointed toric varieties and degenerations ⋮ Rubber tori in the boundary of expanded stable maps ⋮ Logarithmic Gromov-Witten theory and double ramification cycles ⋮ A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves ⋮ A MODULI STACK OF TROPICAL CURVES ⋮ Splitting of Gromov–Witten invariants with toric gluing strata ⋮ Gromov–Witten theory with maximal contacts

Cites Work

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• Tropical geometry and correspondence theorems via toric stacks
• Parabolic sheaves on logarithmic schemes
• Toroidal embeddings. I
• Quotients of toric varieties
• Saturated morphisms of logarithmic schemes
• Weak semistable reduction in characteristic 0
• Semistable reduction in characteristic 0
• Moduli of morphisms of logarithmic schemes
• Skeletons and Fans of Logarithmic Structures
• Logarithmic structures of Fontaine-Illusie. II
• Toric Singularities
• Lectures on Logarithmic Algebraic Geometry
• Logarithmic stable toric varieties and their moduli

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