國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Arithmetic geometry of logarithmic p...

Nicole, Marc-Hubert.

Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaceshyperbolicity in Montreal /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spacesedited by Marc-Hubert Nicole.
其他題名:	hyperbolicity in Montreal /
其他作者:	Nicole, Marc-Hubert.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	ix, 247 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Geometry, Algebraic.
電子資源:	https://doi.org/10.1007/978-3-030-49864-1
ISBN:	9783030498641$q(electronic bk.)

Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaceshyperbolicity in Montreal /
Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaceshyperbolicity in Montreal /[electronic resource] :edited by Marc-Hubert Nicole. - Cham :Springer International Publishing :2020. - ix, 247 p. :ill., digital ;24 cm. - CRM short courses,2522-5200. - CRM short courses,.

Lectures on the Ax-Schanuel Conjecture -- Arithmetic Aspects of Orbifold Pairs -- The Lang-Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties -- Hyperbolicity of Varieties of Log General Type.

This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written by leading experts in their respective fields, the chapters stem from mini-courses given alongside three workshops that took place in Montreal between 2018 and 2019. Each chapter is self-contained, including an overview of preliminaries for each respective topic. This approach captures the spirit of the original lectures, which prepared graduate students and those new to the field for the technical talks in the program. The four chapters turn the spotlight on the following pivotal themes: The basic notions of o-minimal geometry, which build to the proof of the Ax-Schanuel conjecture for variations of Hodge structures; A broad introduction to the theory of orbifold pairs and Campana's conjectures, with a special emphasis on the arithmetic perspective; A systematic presentation and comparison between different notions of hyperbolicity, as an introduction to the Lang-Vojta conjectures in the projective case; An exploration of hyperbolicity and the Lang-Vojta conjectures in the general case of quasi-projective varieties. Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number theory, complex algebraic geometry, and arithmetic geometry. A basic course in algebraic geometry is assumed, along with some familiarity with the vocabulary of algebraic number theory.

ISBN: 9783030498641$q(electronic bk.)

Standard No.: 10.1007/978-3-030-49864-1doiSubjects--Topical Terms:

190843
Geometry, Algebraic.

LC Class. No.: QA564 / .A75 2020

Dewey Class. No.: 516.35

Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaceshyperbolicity in Montreal /
LDR:02766nmm a2200337 a 4500 001 589014
003 DE-He213
005 20210204135149.0
006 m d
007 cr nn 008maaau
008 210525s2020 sz s 0 eng d
020 $a 9783030498641$q(electronic bk.)
020 $a 9783030498634$q(paper)
024 7 $a 10.1007/978-3-030-49864-1 $2 doi
035 $a 978-3-030-49864-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA564 $b .A75 2020
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 516.35 $2 23
090 $a QA564 $b .A717 2020
245 0 0 $a Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces $h [electronic resource] : $b hyperbolicity in Montreal / $c edited by Marc-Hubert Nicole.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a ix, 247 p. : $b ill., digital ; $c 24 cm.
490 1 $a CRM short courses, $x 2522-5200
505 0 $a Lectures on the Ax-Schanuel Conjecture -- Arithmetic Aspects of Orbifold Pairs -- The Lang-Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties -- Hyperbolicity of Varieties of Log General Type.
520 $a This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written by leading experts in their respective fields, the chapters stem from mini-courses given alongside three workshops that took place in Montreal between 2018 and 2019. Each chapter is self-contained, including an overview of preliminaries for each respective topic. This approach captures the spirit of the original lectures, which prepared graduate students and those new to the field for the technical talks in the program. The four chapters turn the spotlight on the following pivotal themes: The basic notions of o-minimal geometry, which build to the proof of the Ax-Schanuel conjecture for variations of Hodge structures; A broad introduction to the theory of orbifold pairs and Campana's conjectures, with a special emphasis on the arithmetic perspective; A systematic presentation and comparison between different notions of hyperbolicity, as an introduction to the Lang-Vojta conjectures in the projective case; An exploration of hyperbolicity and the Lang-Vojta conjectures in the general case of quasi-projective varieties. Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number theory, complex algebraic geometry, and arithmetic geometry. A basic course in algebraic geometry is assumed, along with some familiarity with the vocabulary of algebraic number theory.
650 0 $a Geometry, Algebraic. $3 190843
650 0 $a Hyperbolic spaces. $3 190985
650 0 $a Moduli theory. $3 285972
650 1 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Number Theory. $3 274059
700 1 $a Nicole, Marc-Hubert. $3 880699
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a CRM short courses, $3 880700
856 4 0 $u https://doi.org/10.1007/978-3-030-49864-1
950 $a Mathematics and Statistics (SpringerNature-11649)