Algebraic cycles on the Jacobian of a curve with a g^r_d

2006/06/06 by Fabien Herbaut, Herbaut, Fabien
Computer Science · Mathematics · #14C15 #14C20 #14C25 #14K12 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14C15 #msc:14C20 #msc:14C25 #msc:14K12

paper · pdf · doi:10.48550/arxiv.math/0606140

20 pages

arxiv created 2006/06/06 · openalex publication_date 2006/06/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present relations between cycles with rational coefficients modulo algebraic equivalence on the Jacobian of a curve. These relations depend on the linear systems the curve admits. They are obtained in the tautological ring, the smallest subspace containing (an embedding of) the curve and closed under the basic operations of intersection, Pontryagin product and the pullback and pushdown induced by homotheties.

Related

• Tautological Cycles on Jacobian Varieties
• On the tautological ring of a Jacobian modulo rational equivalence
• Cycle relations on Jacobian varieties
• Relations between tautological cycles on Jacobians
• Algebraic cycles on Jacobian varieties