An analogue of Abel's theorem

Simple item page
dc.creatorClemens, Herbert
dc.date2002-11-18
dc.date.accessioned2026-07-07T04:53:03Z
dc.date.available2026-07-07T04:53:03Z
dc.descriptionThis work makes a parallel construction for curves on threefolds to a ``current-theoretic'' proof of Abel's theorem giving the rational equivalence of divisors P and Q on a Riemann surface when Q - P is (equivalent to) zero in the Jacobian variety of the Riemann surface. The parallel construction is made for homologous ''sub-canonical'' curves P and Q on a general class of threefolds. If P and Q are algebraically equivalent and Q - P is zero in the (intermediate) Jacobian of a threefold, the construction ''almost'' gives rational equivalence.
dc.description18 pages, latex2e file
dc.identifierhttps://arxiv.org/abs/math/0211282
dc.identifierhttp://arxiv.org/abs/math/0211282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65702
dc.subjectAlgebraic Geometry
dc.subject14C25
dc.titleAn analogue of Abel's theorem
dc.typetext

Files

Collections

arXiv