We show that for very general hypersurfaces in odd-dimensional simplicial projective toric varieties satisfying an effective combina- torial property the Hodge conjecture holds. This gives a connection between the Oda conjecture and Hodge conjecture. We also give an explicit criterion which depends on the degree for very general hypersurfaces for the combinatorial condition to be verified.
ON THE HODGE CONJECTURE FOR HYPERSURFACES IN TORIC VARIETIES / Grassi Antonella; Bruzzo Ugo. - In: COMMUNICATIONS IN ANALYSIS AND GEOMETRY. - ISSN 1019-8385. - ELETTRONICO. - 28:8(2020), pp. 1773-1786. [10.4310/CAG.2020.v28.n8.a1]
ON THE HODGE CONJECTURE FOR HYPERSURFACES IN TORIC VARIETIES
Grassi Antonella;
2020
Abstract
We show that for very general hypersurfaces in odd-dimensional simplicial projective toric varieties satisfying an effective combina- torial property the Hodge conjecture holds. This gives a connection between the Oda conjecture and Hodge conjecture. We also give an explicit criterion which depends on the degree for very general hypersurfaces for the combinatorial condition to be verified.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Bruzzo-Grassi-2019-2.pdf
accesso aperto
Tipo:
Postprint
Licenza:
Licenza per accesso libero gratuito
Dimensione
488.92 kB
Formato
Adobe PDF
|
488.92 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
