Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties: v. 15 (Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics) - Hardcover
Book 107 of 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics
Synopsis
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.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Convex Bodies and Algebraic Geometry: An Introduction...
Stock Image
Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)
Seller: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # 619396
Seller Image
Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. Band 15. A Series of Modern Surveys in Mathematics)
Seller: Antiquariat Bernhardt, Kassel, Germany
Seller rating 5 out of 5 stars
Karton Karton. Condition: Sehr gut. 212 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 496. Seller Inventory # 494121