Convex bodies and algebraic geometry

Tadao Oda

  • Publisher: Springer(Berlin [u.a.]), 1988

Book Parts

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  1. INTRODUCTION: Introduction.Access to Book Part 
  2. CHAPTER: Chapter 1. Fans and Toric Varieties.Access to Book Part 
  3. CHAPTER: 1.1 Strongly Convex Rational Polyhedral Cones and Fans.Access to Book Part 
  4. CHAPTER: 1.2 Toric Varieties.Access to Book Part 
  5. CHAPTER: 1.3 Orbit Decomposition, Manifolds with Corners and the Fundamental Group.Access to Book Part 
  6. CHAPTER: 1.4 Nonsingularity and Compactness.Access to Book Part 
  7. CHAPTER: 1.5 Equivariant Holomorphic Maps.Access to Book Part 
  8. CHAPTER: 1.6 Low Dimensional Toric Singularities and Finite Continued Fractions.Access to Book Part 
  9. CHAPTER: 1.7 Birational Geometry of Toric Varities.Access to Book Part 
  10. CHAPTER: Chapter 2. Integral Convex Polytopes and Toric Projective Varieties.Access to Book Part 
  11. CHAPTER: 2.1 Equivariant Line Bundles, Invariant Cartier Divisors.Access to Book Part 
  12. CHAPTER: 2.2 Cohomology of Compact Toric Varities.Access to Book Part 
  13. CHAPTER: 2.3 Equivariant Holomorphic Maps to Projective Spaces.Access to Book Part 
  14. CHAPTER: 2.4 Toric Projective Varieties.Access to Book Part 
  15. CHAPTER: 2.5 Mori's Theory and Toric Projective Varieties.Access to Book Part 
  16. CHAPTER: Chapter 3. Toric Varieties and Holomorphic Differential Forms.Access to Book Part 
  17. CHAPTER: 3.1 Differential Forms with Logarithmic Poles.Access to Book Part 
  18. CHAPTER: 3.2 Ishida's Complexes.Access to Book Part 
  19. CHAPTER: 3.3 Compact Toric Varieties and Holomorphic Differential Forms.Access to Book Part 
  20. CHAPTER: 3.4 Automorphism Groups of Toric Varieites and the Cremona Groups.Access to Book Part 
  21. CHAPTER: Chapter 4. Applications.Access to Book Part 
  22. CHAPTER: 4.1 Periodic Continued Fractions and Two-Dimensional Toric Varieties.Access to Book Part 
  23. CHAPTER: 4.2 Cusp Singularities.Access to Book Part 
  24. CHAPTER: 4.3 Compact Quotients of Toric Varities.Access to Book Part 
  25. CHAPTER: Appendix: Geometry Polydedral Cones.Access to Book Part 
  26. CHAPTER: A.1 Convex Polyhedral Cones.Access to Book Part 
  27. CHAPTER: A.2 Convex Polydedral.Access to Book Part 
  28. CHAPTER: A.3 Support Function.Access to Book Part 
  29. CHAPTER: A.4 The Mixed Volume of compact convex sets.Access to Book Part 
  30. CHAPTER: A.5 Morphology for Convex Polytopes.Access to Book Part 
  31. INDEX OF SUBJECTS: Subject Indey.Access to Book Part 

How to cite

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Oda, Tadao. Convex bodies and algebraic geometry. Berlin [u.a.]: Springer, 1988. <http://eudml.org/doc/203658>.

@book{Oda1988,
author = {Oda, Tadao},
keywords = {torus embeddings; convex figures in real affine spaces; complex analytic spaces; holomorphic maps; birational geometry; subdivisions of fans; Integral convex polytopes; toric projective varieties; holomorphic differential forms},
language = {eng},
location = {Berlin [u.a.]},
publisher = {Springer},
title = {Convex bodies and algebraic geometry},
url = {http://eudml.org/doc/203658},
year = {1988},
}

TY - BOOK
AU - Oda, Tadao
TI - Convex bodies and algebraic geometry
PY - 1988
CY - Berlin [u.a.]
PB - Springer
LA - eng
KW - torus embeddings; convex figures in real affine spaces; complex analytic spaces; holomorphic maps; birational geometry; subdivisions of fans; Integral convex polytopes; toric projective varieties; holomorphic differential forms
UR - http://eudml.org/doc/203658
ER -

Citations in EuDML Documents

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  1. David Perkinson, Principal parts of line bundles on toric varieties
  2. S. Hosono, A. Klemm, S. Theisen, An Extended Lecture on Mirror Symmetry
  3. A. BiaŁynicki-Birula, J. Święcicka, A recipe for finding open subsets of vector spaces with a good quotient
  4. Richard Scott, Projective embeddings of toric varieties
  5. Daniele Mundici, Giovanni Panti, A constructive proof that every 3-generated l-group is ultrasimplicial
  6. Osamu Fujino, Hiroshi Sato, Yukishige Takano, Hokuto Uehara, Three-dimensional terminal toric flips
  7. M. Marchisio, V. Perduca, On some properties of explicit toric degenerations
  8. Maria Isabel, Tavares Camacho, Felipe Cano, Singular foliations of toric type
  9. Genaro Hernandez-Mada, Humberto Abraham Martinez-Gil, Orbit-cone correspondence for the proalgebraic completion of normal toric varieties
  10. Laura Costa, Rosa Miró-Roig, Derived category of toric varieties with small Picard number

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