國立虎尾科技大學 |

Rationality problems in algebraic geometry = Levico Terme, Italy 2015 /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Rationality problems in algebraic geometry/ by Arnaud Beauville ... [et al.]. ; edited by Rita Pardini, Gian Pietro Pirola.
Reminder of title:	Levico Terme, Italy 2015 /
other author:	Beauville, Arnaud.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	viii, 167 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Geometry, Algebraic. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-46209-7
ISBN:	9783319462097

Rationality problems in algebraic geometry = Levico Terme, Italy 2015 /
Rationality problems in algebraic geometryLevico Terme, Italy 2015 /[electronic resource] :by Arnaud Beauville ... [et al.]. ; edited by Rita Pardini, Gian Pietro Pirola. - Cham :Springer International Publishing :2016. - viii, 167 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21720075-8434 ;. - Lecture notes in mathematics ;1943..

Introduction -- Arnaud Beauville: The Luroth problem -- Brendan Hassett: Cubic Fourfolds, K3 Surfaces, and Rationality Questions -- Alexander Kuznetsov: Derived categories view on rationality problems -- Alessandro Verra: Classical moduli spaces and Rationality -- Howard Nuer: Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces.

Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel-Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.

ISBN: 9783319462097

Standard No.: 10.1007/978-3-319-46209-7doiSubjects--Topical Terms:

580393
Geometry, Algebraic.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Rationality problems in algebraic geometry = Levico Terme, Italy 2015 /
LDR:02193nam a2200325 a 4500 001 868732
003 DE-He213
005 20161206123445.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319462097 $q (electronic bk.)
020 $a 9783319462080 $q (paper)
024 7 $a 10.1007/978-3-319-46209-7 $2 doi
035 $a 978-3-319-46209-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA564
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
082 0 4 $a 516.35 $2 23
090 $a QA564 $b .R236 2016
245 0 0 $a Rationality problems in algebraic geometry $h [electronic resource] : $b Levico Terme, Italy 2015 / $c by Arnaud Beauville ... [et al.]. ; edited by Rita Pardini, Gian Pietro Pirola.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a viii, 167 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2172
505 0 $a Introduction -- Arnaud Beauville: The Luroth problem -- Brendan Hassett: Cubic Fourfolds, K3 Surfaces, and Rationality Questions -- Alexander Kuznetsov: Derived categories view on rationality problems -- Alessandro Verra: Classical moduli spaces and Rationality -- Howard Nuer: Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces.
520 $a Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel-Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.
650 0 $a Geometry, Algebraic. $3 580393
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Algebraic Geometry. $3 670184
700 1 $a Beauville, Arnaud. $3 1116534
700 1 $a Pardini, Rita. $3 1116506
700 1 $a Pirola, Gian Pietro. $3 1116535
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 1943. $3 882220
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-46209-7
950 $a Mathematics and Statistics (Springer-11649)