000			04968cam a2200505 i 4500
001			on1322810604
003			OCoLC
005			20230706154121.0
008			220603t20222022sz a b 001 0 eng d
015			_aGBC2C7494 _2bnb
016	7		_a020683946 _2Uk
020			_a9783031101441 _q(pbk.)
020			_a3031101448 _q(pbk.)
020			_z9783031101458 _q(eBook)
020			_z3031101456 _q(eBook)
029	1		_aUKMGB _b020683946
029	1		_aAU@ _b000073450085
035			_a(OCoLC)1322810604
040			_aYDX _beng _erda _cYDX
066			_c(S
082	0	4	_a516.35
090			_acolm
100	1		_aLange, H. _q(Herbert), _d1943- _eauthor. _933742
245	1	0	_aDecomposition of Jacobians by Prym varieties / _cHerbert Lange, Rubí E. Rodríguez.
264		1	_aCham, Switzerland : _bSpringer Nature Switzerland AG, _c[2022]
264		4	_c©2022
300			_axiii, 251 pages : _billustrations ; _c24 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aLecture Notes in Mathematics ; _x0075-8434 _vVolume 2310
504			_aIncludes bibliographical references (pages 247-248) and index.
650		0	_aJacobians. _938254
650		0	_aGeometry, Algebraic. _943737
650		0	_aCurves, Algebraic. _943642
697			_923736 _aColeções de Monografias.
700	1		_aRodríguez, Rubí E., _d1953- _eauthor. _910610
776	0	8	_iOnline version: _aLange, H. (Herbert), 1943- _tDecomposition of Jacobians by Prym varieties. _dCham : Springer, [2022] _z9783031101458 _w(OCoLC)1351747467
776	0	8	_iOnline version: _aLange, Herbert. _tDecomposition of Jacobians by Prym Varieties. _dCham : Springer International Publishing AG, 2022 _z9783031101458 _w(OCoLC)1354568142
830		0	_aLecture notes in mathematics (Springer-Verlag) ; _v2310. _x0075-8434 _943881
880	0		_6505-00/(S _aIntro -- Preface -- Acknowledgements -- Contents -- Notations -- 1 Introduction -- 2 Preliminaries and Basic Results -- 2.1 Line Bundles on Abelian Varieties -- 2.2 Polarized Abelian Varieties -- 2.3 Endomorphisms of Abelian Varieties -- 2.4 The Weil Form on K(L) -- 2.5 Symmetric Idempotents -- 2.6 Abelian Subvarieties of a Polarized Abelian Variety -- 2.6.1 The Principally Polarized Case -- 2.6.2 The Case of an Arbitrary Polarization -- 2.7 Poincaré's Reducibility Theorem -- 2.8 Complex and Rational Representations of Finite Groups -- 2.9 The Isotypical and Group Algebra Decompositions -- 2.9.1 Generalities -- 2.9.2 Induced Action on the Tangent Space -- 2.10 Action of a Hecke Algebra on an Abelian Variety -- 3 Prym Varieties -- 3.1 Finite Covers of Curves -- 3.1.1 Definitions and Elementary Results -- 3.1.2 The Signature of a Galois Cover -- 3.1.3 The Geometric Signature of a Galois Cover -- 3.2 Prym Varieties of Covers of Curves -- 3.2.1 Definition of Prym Varieties -- 3.2.2 Polarizations of Prym Varieties -- 3.2.3 The Degrees of the Decomposition Isogeny -- 3.2.4 Degrees of Isogenies Arising from a Decomposition of f: C""0365C →C -- 3.3 Two-Division Points of Prym Varieties of Double Covers -- 3.4 Prym Varieties of Pairs of Covers -- 3.5 Galois Covers of Curves -- 3.5.1 Jacobians and Pryms of Intermediate Covers -- 3.5.2 Isotypical and Group Algebra Decompositions of Intermediate Covers -- 3.5.3 Decomposition of the Tangent Space of the Prym Variety Associated to a Pair of Subgroups -- 3.5.4 The Dimension of an Isotypical Component -- 4 Covers of Degree 2 and 3 -- 4.1 Covers of Degree 2 -- 4.2 Covers of Degree 3 -- 4.2.1 Cyclic Covers of Degree 3 -- 4.2.2 Non-cyclic Covers of Degree 3: The Galois Closure -- 4.2.3 The Irreducible Rational Representations of S3 -- 4.2.4 Curves with an S3-action: Decomposition of J""0365J -- 4.2.5 The Degree of the Isogeny ψ -- 5 Covers of Degree 4 -- 5.1 Cyclic Covers of Degree 4 -- 5.2 The Klein Group of Order 4 -- 5.2.1 Decompositions of J""0365J -- 5.2.2 Degrees of Some Isogenies -- 5.2.3 Proof of Proposition 5.2.5 -- 5.3 The Dihedral Group of Order 8 -- 5.3.1 Ramification and Genera -- 5.3.2 Decompositions of J""0365J -- 5.3.3 An Isogeny Coming from an Action of a Quotient Group -- 5.3.4 A Generalization of the Bigonal Construction -- 5.4 The Bigonal Construction -- 5.4.1 Definition and First Properties -- 5.4.2 Determination of the Bigonal Construction in the Non-Galois Case -- 5.4.3 The Bigonal Construction over C =P1 -- 5.4.4 Pantazis' Theorem -- 5.5 The Alternating Group of Degree 4 -- 5.5.1 Ramification and Genera -- 5.5.2 Decompositions of J -- 5.5.3 A Generalization of the Trigonal Construction -- 5.6 The Trigonal Construction for Covers with Group A4 -- 5.7 The Symmetric Group S4 -- 5.7.1 Ramification and Genera -- 5.7.2 Decomposition of J""0365J -- 5.7.3 Isogenies Arising from Actions of Subgroups of S4 -- 5.7.4 An Isogeny Arising from the Action of a Quotient of S4.
942			_2ddc _cBK _n0
948			_hNO HOLDINGS IN P5A - 30 OTHER HOLDINGS
999			_c39860 _d39860