Convex Bodies and Algebraic Geometry by Tadao Oda
Convex Bodies and Algebraic Geometry - Table of Contents
- 1. Toric Varieties and affine toric varieties fans rational polyhedral cones
- 2. Projective Toric Varieties and convex polytopes ample line bundles projective embeddings
- 3. Resolution of Singularities and subdivision of fans blowups toric resolution techniques
- 4. Sheaf Cohomology and Intersection Theory and cohomology of invertible sheaves riemann roch theorem intersection rings
- 5. Applications and Advanced Topics in Toric Geometry and moment maps toric surfaces classification of toric manifolds
What You Will Learn in Convex Bodies and Algebraic Geometry
In Convex Bodies and Algebraic Geometry, distinguished Japanese mathematician Tadao Oda presents an elegant, foundational bridge between convex polyhedral geometry and algebraic geometry. Unfolding systematically through the theory of toric varieties, this landmark treatise covers affine toric varieties, fans, projective toric varieties, resolution of singularities, sheaf cohomology, and intersection theory on toric schemes.
Written for advanced mathematics students and algebraic geometers, Oda emphasizes combinatorial deduction, geometric visualization, and algebraic rigor. Readers are guided step-by-step through lattice cones, dual fans, Riemann-Roch theorems, dualities, and the classification of toric manifolds.
Widely celebrated for its clear expository style, structural depth, and rich collection of geometric examples, this volume stands as one of the best classical toric geometry textbooks pdf available for self-study. It systematically equips quantitative students with foundational algebraic and combinatorial tools for mastering convex geometry and toric varieties with confidence.
Book Details & Specifications
Title:
Convex Bodies and Algebraic Geometry by Tadao Oda
Publisher:
Springer
Year:
1988
Pages:
212
Type:
PDF
Language:
English
ISBN-10 #:
3540176004
ISBN-13 #:
978-3540176008
License:
External Educational Resource
Amazon:
Amazon
About the Author: Tadao Oda
The author Tadao Oda
is an eminent Japanese mathematician and Professor Emeritus at Tohoku University, world-renowned for his pioneering contributions to algebraic geometry and toric varieties.
Renowned for his authoritative research on convex polyhedra and algebraic surfaces, Oda authored influential graduate texts, creating an indispensable resource for scholars seeking a definitive convex bodies and algebraic geometry by tadao oda pdf for advanced study.
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