Decomposition of Jacobians by Prym Varieties / / by Herbert Lange, Rubí E. Rodríguez

• Autore: Lange H (Herbert), <1943->
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
• Edizione: 1st ed. 2022.
• Descrizione fisica: 1 online resource (261 pages)
• Disciplina: 905
• Soggetto topico: Geometry, Algebraic; Functions of complex variables; Algebraic Geometry; Several Complex Variables and Analytic Spaces; Corbes algebraiques; Geometria algebraica
• Soggetto genere / forma: Llibres electrònics
• Persona (resp. second.): RodríguezRubí E. <1953->
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Decomposition of Jacobians by Prym varieties
• ISBN: 3-031-10145-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910632490603321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 1617-9692 ; ; 2310