Relative rounding in toric and logarithmic geometry

DOI10.2140/gt.2010.14.2189zbMath1201.14007OpenAlexW2134212366MaRDI QIDQ600819

Arthur Ogus, Chikara Nakayama

Publication date: 2 November 2010

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/gt.2010.14.2189

zbMATH Keywords

smoothingdualitymanifold with boundarytoric geometryorientationlog geometrysubmersion

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Momentum maps; symplectic reduction (53D20) Fibrations, degenerations in algebraic geometry (14D06) Deformations of complex singularities; vanishing cycles (32S30) Topological properties in algebraic geometry (14F45)

Related Items

-neighborhoods and comparison theorems ⋮ KUMMER COVERINGS AND SPECIALISATION ⋮ Base change theorems for log analytic spaces ⋮ Comparison of Relatively Unipotent Log de Rham Fundamental Groups ⋮ Motivic integral of \(K3\) surfaces over a non-Archimedean field ⋮ Skeleta of affine hypersurfaces ⋮ On log motives ⋮ Monodromy and log geometry ⋮ Betti realization of varieties defined by formal Laurent series ⋮ Real loci in (log) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations ⋮ Compactifying torus fibrations over integral affine manifolds with singularities ⋮ Perverse curves and mirror symmetry ⋮ Smoothing Calabi–Yau toric hypersurfaces using the Gross–Siebert algorithm ⋮ Logarithmic enumerative geometry and mirror symmetry. Abstracts from the workshop held June 16--22, 2019 ⋮ Smoothing toroidal crossing spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology of sheaves
• On the logarithmic Riemann-Hilbert correspondence
• log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\)
• Mirror symmetry via logarithmic degeneration data. I
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• Deformation of homeomorphisms on stratified sets
• Introduction to Toric Varieties. (AM-131)
• Logarithmic structures of Fontaine-Illusie. II
• Toric Singularities
• Algebraic Statistics for Computational Biology
• Recovery of vanishing cycles by log geometry