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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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IMPACT FACTOR 2017: 0.734

CiteScore 2017: 0.70

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Source Normalized Impact per Paper (SNIP) 2017: 0.891

Mathematical Citation Quotient (MCQ) 2017: 0.62

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1615-7168
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Volume 16, Issue 2

Issues

Cycles in Jacobians: infinitesimal results

Emanuele Raviolo
Published Online: 2016-04-16 | DOI: https://doi.org/10.1515/advgeom-2015-0024

Abstract

Let C be a generic smooth curve of genus g ≥ 4.We study the normal functions and the infinitesimal invariants associated to Ceresa cycles Wk − Wk , k = 2, . . . , g − 2. We show how they can be obtained from the normal function associated to the basic cycle C − C− and, for k = 2, we also explicitly determine the zero locus of the infinitesimal invariant. If C is general hyperelliptic of genus g = 3, we define the K-theoretic counterpart of W2 − W2 , generalizing a construction of A. Collino, and we prove that it is indecomposable.

Keywords: Normal functions; infinitesimal invariants; algebraic cycles; Jacobian

About the article

Received: 2013-11-28

Revised: 2014-03-25

Published Online: 2016-04-16

Published in Print: 2016-04-01


Citation Information: Advances in Geometry, Volume 16, Issue 2, Pages 135–152, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2015-0024.

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© 2016 by Walter de Gruyter Berlin/Boston.Get Permission

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