The Ceresa class: tropical, topological and algebraic

Coverings of curves, fundamental group (14H30) Arithmetic aspects of tropical varieties (14T25) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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Riemann-Roch theory for weighted graphs and tropical curves
On the tropical Torelli map
Harmonic volumes
C is not algebraically equivalent to $C^-$ in its Jacobian
A non-hyperelliptic curve with torsion Ceresa class
Trivial cocycles and invariants of homology 3-spheres
Torelli theorem for graphs and tropical curves
A note on the connectivity of certain complexes associated to surfaces
The extension of Johnson's homomorphism from the Torelli group to the mapping class group
An abelian quotient of the mapping class group $\mathfrak S$
A note on ramification of the Galois representation on the fundamental group of an algebraic curve. II
Local monodromy on the fundamental groups of algebraic curves along a degenerate stable curve
Tropical hyperelliptic curves
Lifting harmonic morphisms. II: Tropical curves and metrized complexes
Tropical curves of hyperelliptic type
Jumps in the Archimedean height
Cutting and pasting in the Torelli group
On the Arakelov geometry of moduli spaces of curves
On Siegel's modular group
Gross-Schoen cycles and dualising sheaves
Algebraic and tropical curves: comparing their moduli spaces
Normal Functions and the Geometry of Moduli Spaces of Curves
The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
Harmonic Morphisms and Hyperelliptic Graphs
Homological versus algebraic equivalence in a jacobian
Two Theorems on the Mapping Class Group of a Surface
Lectures on Tropical Curves and Their Moduli Spaces
Experiments with Ceresa classes of cyclic Fermat quotients
C is not Equivalent to C− in its Jacobian: A Tropical Point of View
Tropical Eigenwave and Intermediate Jacobians
GALOIS ACTIONS ON FUNDAMENTAL GROUPS OF CURVES AND THE CYCLE $C-C^{-}$
Mixed Hodge Structures
Feynman amplitudes and limits of heights
A Non-Hyperelliptic Curve with Torsion Ceresa Cycle Modulo Algebraic Equivalence
Complex varieties with infinite Chow groups modulo 2
Vanishing results in Chow groups for the modified diagonal cycles
Semisimplicity of the Frobenius action on $\pi_1$

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