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EnglishWe 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.
Gilberto Bini, Robert Laterveer, & Gianluca Pacienza (2019). Voisin's Conjecture for 0-cycles on Calabi-Yau varieties and their mirror. ADVANCES IN GEOMETRY, 20(1), 91-108 [10.1515/advgeom-2019-0008].
| Data di pubblicazione: | 2019 | |
| Titolo: | Voisin's Conjecture for 0-cycles on Calabi-Yau varieties and their mirror | |
| Autori: | ||
| Citazione: | Gilberto Bini, Robert Laterveer, & Gianluca Pacienza (2019). Voisin's Conjecture for 0-cycles on Calabi-Yau varieties and their mirror. ADVANCES IN GEOMETRY, 20(1), 91-108 [10.1515/advgeom-2019-0008]. | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/advgeom-2019-0008 | |
| 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. | |
| Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria | |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| MVEC40-[Advances in Geometry] Voisins conjecture for zero-cycles on CalabiYau varieties and their mirrors.pdf | Versione Editoriale | Open Access Visualizza/Apri |
http://hdl.handle.net/10447/394804
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