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.
Grassi Antonella, Bruzzo Ugo (2020). ON THE HODGE CONJECTURE FOR HYPERSURFACES IN TORIC VARIETIES. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 28(8), 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:
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