6533b861fe1ef96bd12c48fd
RESEARCH PRODUCT
Voisin's Conjecture for 0-cycles on Calabi-Yau varieties and their mirror
Gilberto BiniRobert LaterveerGianluca Pacienzasubject
Chow groupAlgebraic cyclemotiveCalabi–Yau varietiesfinite-dimensional motiveSettore MAT/03 - Geometriadescription
We study a conjecture, due to Voisin, on 0-cycles on varieties with pg = 1. Using Kimura’s finite dimensional motives and recent results of Vial’s on the refined (Chow–)Künneth decomposition, we provide a general criterion for Calabi–Yau manifolds of dimension at most 5 to verify Voisin’s conjecture. We then check, using in most cases some cohomological computations on the mirror partners, that the criterion can be successfully applied to various examples in each dimension up to 5.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-01 |