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The Calabi problem for Fano threefolds

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Calabi problem for Fano threefolds/ Carolina Araujo ... [et al.].
其他作者:	Araujo, Carolina.
出版者:	Cambridge :Cambridge University Press, : 2023.,
面頁冊數:	vii, 441 p. :ill., digital ; : 23 cm.;
附註:	Also issued in print: 2023.
標題:	Threefolds (Algebraic geometry) -
電子資源:	https://doi.org/10.1017/9781009193382
ISBN:	9781009193382

The Calabi problem for Fano threefolds
The Calabi problem for Fano threefolds[electronic resource] /Carolina Araujo ... [et al.]. - Cambridge :Cambridge University Press,2023. - vii, 441 p. :ill., digital ;23 cm. - London Mathematical Society lecture note series ;485. - London Mathematical Society lecture note series ;382..

Also issued in print: 2023.

Includes bibliographical references and index.

Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler-Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. Its solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, it presents many different techniques to prove the existence of a Kähler-Einstein metric, containing many additional relevant results such as the classification of all Kähler-Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces.

Specialized.

ISBN: 9781009193382

Standard No.: 10.1017/9781009193382doiSubjects--Topical Terms:

580497
Threefolds (Algebraic geometry)

LC Class. No.: QA564 / .A7 2023

Dewey Class. No.: 516.353

The Calabi problem for Fano threefolds
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500 $a Also issued in print: 2023.
504 $a Includes bibliographical references and index.
520 8 $a Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler-Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. Its solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, it presents many different techniques to prove the existence of a Kähler-Einstein metric, containing many additional relevant results such as the classification of all Kähler-Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces.
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588 $a Description based on online resource; title from PDF title page (viewed on July 4, 2023).
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