The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications found since toric varieties were introduced in the early 1970's. It is an updated and corrected English edition of the author's book in Japanese published by Kinokuniya, Tokyo in 1985. Toric varieties are here treated as complex analytic spaces. Without ...
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The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications found since toric varieties were introduced in the early 1970's. It is an updated and corrected English edition of the author's book in Japanese published by Kinokuniya, Tokyo in 1985. Toric varieties are here treated as complex analytic spaces. Without assuming much prior knowledge of algebraic geometry, the author shows how elementary convex figures give rise to interesting complex analytic spaces. Easily visualized convex geometry is then used to describe algebraic geometry for these spaces, such as line bundles, projectivity, automorphism groups, birational transformations, differential forms and Mori's theory. Hence this book might serve as an accessible introduction to current algebraic geometry. Conversely, the algebraic geometry of toric varieties gives new insight into continued fractions as well as their higher-dimensional analogues, the isoperimetric problem and other questions on convex bodies. Relevant results on convex geometry are collected together in the appendix.
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Add this copy of Convex Bodies and Algebraic Geometry an Introduction to to cart. $74.95, very good condition, Sold by Last Exit Books rated 3.0 out of 5 stars, ships from Charlottesville, VA, UNITED STATES, published 1987 by Springer.
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Very Good. Hardcover. 8vo. Published by Springer Verlag, Berlin, Germany. 1988. Viii, 212 pages. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. Text in English. Bound in cloth boards with titles present to the spine and front board. Boards have light shelf-wear present to the extremities. No ownership marks present. Text is clean and free of marks. Binding tight and solid. The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications found since toric varieties were introduced in the early 1970's. It is an updated and corrected English edition of the author's book in Japanese published by Kinokuniya, Tokyo in 1985. Toric varieties are here treated as complex analytic spaces. Without assuming much prior knowledge of algebraic geometry, the author shows how elementary convex figures give rise to interesting complex analytic spaces. Easily visualized convex geometry is then used to describe algebraic geometry for these spaces, such as line bundles, projectivity, automorphism groups, birational transformations, differential forms and Mori's theory. Hence this book might serve as an accessible introduction to current algebraic geometry. Conversely, the algebraic geometry of toric varieties gives new insight into continued fractions as well as their higher-dimensional analogues, the isoperimetric problem and other questions on convex bodies. Relevant results on convex geometry are collected together in the appendix.; Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / A Series Of Modern Surveys In Mathematics; 0.0 X 0.0 X 0.0 inches; 212 pages.
Add this copy of Convex Bodies and Algebraic Geometry: an Introduction to cart. $87.20, good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1988 by Springer Verlag.
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Good. Springer Verlag, 1988. Cover corners and spine ends faintly rubbed; edges lightly age-toned; ffep has black ink marking and date in black ink; endpapers and text block lightly age-toned; binding tight; cover, edges, and interior intact and clean except as noted. hardcover. Good.
Add this copy of Convex Bodies and Algebraic Geometry: an Introduction to cart. $200.29, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2012 by Springer.
Add this copy of Convex Bodies and Algebraic Geometry to cart. $213.53, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2012 by Springer.
