2 problems

0 votes0 replies0 views
Beauville's nonvanishing conjecture for the eigenspaces of an abelian variety's Chow groups
Beauville's conjecture. The eigenspace is nonzero precisely in the expected range:
Conjectureopenabelian-varieties beauville-decomposition chow-groupsarXiv posted 2 days ago
0 votes0 replies1 view
Colombo–van Geemen's algebraic non-triviality conjecture for Beauville components of curve classes
Let $C$ be a very general smooth connected projective curve over $\mathbb{C}$ of genus $g\geq 2s+1$ , let $J$ be its Jacobian, and let $e$ be a degree- $1$ divisor on $C$ . Write…
Conjectureopenalgebraic-cycles beauville-decomposition jacobiansarXiv posted 2 days ago

Beauville's nonvanishing conjecture for the eigenspaces of an abelian variety's Chow groups