On the kernel of the push-forward homomorphism between Chow groups
classification
🧮 math.AG
keywords
divisorhomomorphismkernelpush-forwardamplechowclosedcurve
read the original abstract
In this note we prove that the kernel of the push-forward homomorphism on $d$-cycles modulo rational equivalence, induced by the closed embedding of an ample divisor linearly equivalent to some multiple of the theta divisor inside the Jacobian variety $J(C)$ is trivial. Here $C$ is a smooth projective curve of genus $g$.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
Geometry of quintics in $\mathbb P^3$ and the Craighero-Gattazzo surface of general type
Studies base-point-freeness of |3K| on the Craighero-Gattazzo surface and non-rationality of normalizations of quotients from curves on singular quintics with elliptic singularities.
-
Involutions on algebraic surfaces and the Generalised Bloch's conjecture
Studies the action of an involution on the Chow group of zero-cycles of a smooth projective surface in relation to the generalised Bloch's conjecture.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.