國立高雄大學圖資館 |

登入

回首頁

Enriques surfaces II

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Enriques surfaces IIby Igor Dolgachev, Shigeyuki Kondō.
作者:	Dolgachev, I.
其他作者:	Kondō, Shigeyuki.
出版者:	Singapore :Springer Nature Singapore :2025.
面頁冊數:	xxii, 481 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Algebraic Geometry.
電子資源:	https://doi.org/10.1007/978-981-96-1513-1
ISBN:	9789819615131$q(electronic bk.)

Enriques surfaces II
Dolgachev, I.

Enriques surfaces II[electronic resource] /by Igor Dolgachev, Shigeyuki Kondō. - Singapore :Springer Nature Singapore :2025. - xxii, 481 p. :ill., digital ;24 cm.

6 Nodal Enriques Surfaces -- 7 Reye Congruences -- 8 Automorphisms of Enriques Surfaces -- 9 Rational Coble Surfaces -- 10 Supersingular K3 Surfaces and Enriques Surfaces.

This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years by F. Enriques in an attempt to extend the characterization of rational algebraic curves to the case of algebraic surfaces. The novel feature of the present exposition is that no assumption on the characteristic of the ground field is assumed. This requirement calls for exploring the geometry of such surfaces by purely geometric and arithmetic methods that do not rely on transcendental methods such as the theory of periods of algebraic surfaces of type K3, which are close relatives of Enriques surfaces. Some of the methods use many technical tools from algebraic geometry that are discussed in Volume 1 and will be a useful source of reference for the study of algebraic surfaces over fields of positive characteristic. Volume 1 also contains a detailed exposition of the theory of elliptic surfaces over fields of arbitrary characteristic. The second volume discusses many new topics - for example, the theory of automorphisms of Enriques surfaces and the relationships with hyperbolic geometry. Together, the two volumes contain many examples and an extensive bibliography made up of more than 700 items.

ISBN: 9789819615131$q(electronic bk.)

Standard No.: 10.1007/978-981-96-1513-1doiSubjects--Topical Terms:

274807
Algebraic Geometry.

LC Class. No.: QA573

Dewey Class. No.: 516.352

Enriques surfaces II
LDR:02451nmm a2200325 a 4500 001 680471
003 DE-He213
005 20250325121135.0
006 m d
007 cr nn 008maaau
008 251110s2025 si s 0 eng d
020 $a 9789819615131$q(electronic bk.)
020 $a 9789819615124$q(paper)
024 7 $a 10.1007/978-981-96-1513-1 $2 doi
035 $a 978-981-96-1513-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA573
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 516.352 $2 23
090 $a QA573 $b .D664 2025
100 1 $a Dolgachev, I. $3 991521
245 1 0 $a Enriques surfaces II $h [electronic resource] / $c by Igor Dolgachev, Shigeyuki Kondō.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a xxii, 481 p. : $b ill., digital ; $c 24 cm.
505 0 $a 6 Nodal Enriques Surfaces -- 7 Reye Congruences -- 8 Automorphisms of Enriques Surfaces -- 9 Rational Coble Surfaces -- 10 Supersingular K3 Surfaces and Enriques Surfaces.
520 $a This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years by F. Enriques in an attempt to extend the characterization of rational algebraic curves to the case of algebraic surfaces. The novel feature of the present exposition is that no assumption on the characteristic of the ground field is assumed. This requirement calls for exploring the geometry of such surfaces by purely geometric and arithmetic methods that do not rely on transcendental methods such as the theory of periods of algebraic surfaces of type K3, which are close relatives of Enriques surfaces. Some of the methods use many technical tools from algebraic geometry that are discussed in Volume 1 and will be a useful source of reference for the study of algebraic surfaces over fields of positive characteristic. Volume 1 also contains a detailed exposition of the theory of elliptic surfaces over fields of arbitrary characteristic. The second volume discusses many new topics - for example, the theory of automorphisms of Enriques surfaces and the relationships with hyperbolic geometry. Together, the two volumes contain many examples and an extensive bibliography made up of more than 700 items.
650 1 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Algebra. $3 188312
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 0 $a Enriques surfaces. $3 468254
700 1 $a Kondō, Shigeyuki. $3 993203
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-96-1513-1
950 $a Mathematics and Statistics (SpringerNature-11649)