國立虎尾科技大學 |

Decomposition of Jacobians by Prym Varieties

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Decomposition of Jacobians by Prym Varieties/ by Herbert Lange, Rubí E. Rodríguez.
作者:	Lange, Herbert.
其他作者:	Rodríguez, Rubí E.
面頁冊數:	XIII, 251 p. 67 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Several Complex Variables and Analytic Spaces. -
電子資源:	https://doi.org/10.1007/978-3-031-10145-8
ISBN:	9783031101458

Decomposition of Jacobians by Prym Varieties
Lange, Herbert.

Decomposition of Jacobians by Prym Varieties[electronic resource] /by Herbert Lange, Rubí E. Rodríguez. - 1st ed. 2022. - XIII, 251 p. 67 illus.online resource. - Lecture Notes in Mathematics,23101617-9692 ;. - Lecture Notes in Mathematics,2144.

Introduction -- Preliminaries and basic results -- Finite covers of curves -- Covers of degree 2 and 3 -- Covers of degree 4 -- Some special groups and complete decomposabality -- Bibliography -- Index.

This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theorem on how to decompose the Jacobian which works in many cases and apply it for several groups, as for groups of small order and some series of groups. In many cases, these components are given by Prym varieties of pairs of subcovers. As a consequence, new proofs are obtained for the classical bigonal and trigonal constructions which have the advantage to generalize to more general situations. Several isogenies between Prym varieties also result.

ISBN: 9783031101458

Standard No.: 10.1007/978-3-031-10145-8doiSubjects--Topical Terms:

672032
Several Complex Variables and Analytic Spaces.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

Decomposition of Jacobians by Prym Varieties
LDR:02246nam a22004095i 4500 001 1085773
003 DE-He213
005 20221124013634.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031101458 $9 978-3-031-10145-8
024 7 $a 10.1007/978-3-031-10145-8 $2 doi
035 $a 978-3-031-10145-8
050 4 $a QA564-609
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
100 1 $a Lange, Herbert. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1392344
245 1 0 $a Decomposition of Jacobians by Prym Varieties $h [electronic resource] / $c by Herbert Lange, Rubí E. Rodríguez.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XIII, 251 p. 67 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Lecture Notes in Mathematics, $x 1617-9692 ; $v 2310
505 0 $a Introduction -- Preliminaries and basic results -- Finite covers of curves -- Covers of degree 2 and 3 -- Covers of degree 4 -- Some special groups and complete decomposabality -- Bibliography -- Index.
520 $a This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theorem on how to decompose the Jacobian which works in many cases and apply it for several groups, as for groups of small order and some series of groups. In many cases, these components are given by Prym varieties of pairs of subcovers. As a consequence, new proofs are obtained for the classical bigonal and trigonal constructions which have the advantage to generalize to more general situations. Several isogenies between Prym varieties also result.
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 672032
650 1 4 $a Algebraic Geometry. $3 670184
650 0 $a Functions of complex variables. $3 528649
650 0 $a Algebraic geometry. $3 1255324
700 1 $a Rodríguez, Rubí E. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1392345
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031101441
776 0 8 $i Printed edition: $z 9783031101465
830 0 $a Lecture Notes in Mathematics, $x 0075-8434 ; $v 2144 $3 1254300
856 4 0 $u https://doi.org/10.1007/978-3-031-10145-8
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
912 $a ZDB-2-LNM
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)