Voisin's Conjecture for 0-cycles on Calabi-Yau varieties and their mirror

Gilberto Bini, Gianluca Pacienza, Robert Laterveer, Gilberto Bini

Risultato della ricerca: Article

Abstract

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.
Lingua originaleEnglish
pagine (da-a)91-108
Numero di pagine18
RivistaAdvances in Geometry
Volume20
Stato di pubblicazionePublished - 2019

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All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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