Concepedia

Geography of log models: theory and applications

Vyacheslav Vladimirovich Shokurov, Sung Rak Choi

Open Mathematics · 2011 · 30 citations · 21 references

Open access

Concepts

Spatial ScienceLog ModelsQuantitative Spatial ModelSpatial Statistical AnalysisGeometryEntropyPositive ConesGeographyMori FibrationsTropical Geometry

Abstract

Abstract This is an introduction to geography of log models with applications to positive cones of Fano type (FT) varieties and to geometry of minimal models and Mori fibrations.

References

21

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Caucher Birkar, Paolo Cascini, Christopher D. Hacon et al. · Journal of the American Mathematical Society · 2009 · 1.3K citations · Full text

Smooth Projective Variety, Canonical Ring, Schubert Calculus +5

Introduction to the Minimal Model Problem

Yūjirō Kawamata, Katsumi Matsuda, Kenji Matsuki · Advanced studies in pure mathematics · 2018 · 1K citations

Abundance Conjecture §, Chapter O, Log-terminal Singularities +6

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Yūjirō Kawamata · Medical Entomology and Zoology · 1987 · 437 citations

Real Algebraic Geometry, Schubert Calculus, Projective Geometry +1

Towards the second main theorem on complements

Yuri Prokhorov, Vyacheslav Vladimirovich Shokurov · Journal of Algebraic Geometry · 2008 · 166 citations

Extremal Set Theory, Effective Adjunction, Complements Modulo Two +4

3-Fold log models

V. V. Shokurov · Journal of Mathematical Sciences · 1996 · 151 citations · Full text

Log Analysis, Data Science, 3-Fold Log Models +3