Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Rigid geometry of curves and their J...
~
Lutkebohmert, Werner.
Rigid geometry of curves and their Jacobians
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Rigid geometry of curves and their Jacobians/ by Werner Lutkebohmert.
Author:
Lutkebohmert, Werner.
Published:
Cham :Springer International Publishing : : 2016.,
Description:
xviii, 386 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Curves, Plane. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-27371-6
ISBN:
9783319273716
Rigid geometry of curves and their Jacobians
Lutkebohmert, Werner.
Rigid geometry of curves and their Jacobians
[electronic resource] /by Werner Lutkebohmert. - Cham :Springer International Publishing :2016. - xviii, 386 p. :ill., digital ;24 cm. - Ergebnisse der Mathematik und ihrer Grenzgebiete,3. folge, v.610071-1136 ;. - Ergebnisse der Mathematik und ihrer Grenzgebiete ;v.57..
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
ISBN: 9783319273716
Standard No.: 10.1007/978-3-319-27371-6doiSubjects--Topical Terms:
882998
Curves, Plane.
LC Class. No.: QA567
Dewey Class. No.: 516.352
Rigid geometry of curves and their Jacobians
LDR
:02025nam a2200313 a 4500
001
862255
003
DE-He213
005
20160818135003.0
006
m d
007
cr nn 008maaau
008
170720s2016 gw s 0 eng d
020
$a
9783319273716
$q
(electronic bk.)
020
$a
9783319273693
$q
(paper)
024
7
$a
10.1007/978-3-319-27371-6
$2
doi
035
$a
978-3-319-27371-6
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA567
072
7
$a
PB
$2
bicssc
072
7
$a
MAT000000
$2
bisacsh
082
0 4
$a
516.352
$2
23
090
$a
QA567
$b
.L973 2016
100
1
$a
Lutkebohmert, Werner.
$3
1105499
245
1 0
$a
Rigid geometry of curves and their Jacobians
$h
[electronic resource] /
$c
by Werner Lutkebohmert.
260
$a
Cham :
$c
2016.
$b
Springer International Publishing :
$b
Imprint: Springer,
300
$a
xviii, 386 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Ergebnisse der Mathematik und ihrer Grenzgebiete,
$x
0071-1136 ;
$v
3. folge, v.61
520
$a
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
650
0
$a
Curves, Plane.
$3
882998
650
0
$a
Jacobians.
$3
1105500
650
1 4
$a
Mathematics.
$3
527692
650
2 4
$a
Mathematics, general.
$3
669694
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Ergebnisse der Mathematik und ihrer Grenzgebiete ;
$v
v.57.
$3
1074419
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-27371-6
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login