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Theta invariants of Euclidean lattic...

Bost, Jean-Benoît, (1961-)

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Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves // Jean-Benoît Bost.
作者:	Bost, Jean-Benoît,
出版者:	Cham, Switzerland :Birkhäuser, an imprint of Spinger Nature Switzerland AG, : c2020.,
面頁冊數:	xxxi, 374 p. ;25 cm.
標題:	Arakelov theory. -
ISBN:	9783030443283

Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves /
Bost, Jean-Benoît,1961-

Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves /Jean-Benoît Bost. - Cham, Switzerland :Birkhäuser, an imprint of Spinger Nature Switzerland AG,c2020. - xxxi, 374 p. ;25 cm. - Progress in mathematics,Volume 3340743-1643 ;. - Progress in mathematics (Boston, Mass.) ;v. 334..

Includes bibliographical references (p. 359-367) and index.

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete description of the theta invariants which give rise to a closer parallel with the geometric case. The author then unfolds his theory of infinite Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences of lattices occurring in many diophantine constructions. The book contains many interesting original insights and ties to other theories. It is written with extreme care, with a clear and pleasant style, and never sacrifices accessibility to sophistication.

ISBN: 9783030443283EUR119.99

Nat. Bib. Agency Control No.: 019996723UkSubjects--Topical Terms:

728392
Arakelov theory.

LC Class. No.: QA242.6 / .B67 2020

Dewey Class. No.: 512/.14

Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves /
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100 1 $a Bost, Jean-Benoît, $d 1961- $e author. $3 3565500
245 1 0 $a Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves / $c Jean-Benoît Bost.
260 # $a Cham, Switzerland : $b Birkhäuser, an imprint of Spinger Nature Switzerland AG, $c c2020.
300 $a xxxi, 374 p. ; $c 25 cm.
490 1 $a Progress in mathematics, $x 0743-1643 ; $v Volume 334
504 $a Includes bibliographical references (p. 359-367) and index.
520 # $a This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete description of the theta invariants which give rise to a closer parallel with the geometric case. The author then unfolds his theory of infinite Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences of lattices occurring in many diophantine constructions. The book contains many interesting original insights and ties to other theories. It is written with extreme care, with a clear and pleasant style, and never sacrifices accessibility to sophistication.
650 # 0 $a Arakelov theory. $3 728392
650 # 0 $a Geometry, Algebraic. $3 532048
650 # 0 $a Number theory. $3 515832
776 0 8 $i E-book version $z 9783030443290
830 0 $a Progress in mathematics (Boston, Mass.) ; $v v. 334. $x 0743-1643 $3 3565501