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- W2067894522 abstract "Let X ⊂ ℙ 2m+1 be a projective variety with isolated singularities, complete intersection of a smooth hypersurface of degree k, with a smooth hypersurface F of degree n > k. Denote by NS m (F) and NS m (X) the mth Néron–Severi groups. We prove that if rkNS m (F) = 1, then rkNS m (X) = 1. Moreover, we prove that if [Formula: see text] is general and n > max {k, 2m + 1}, then the natural map NS m (X) ⊗ ℚ → NS m (F) ⊗ ℚ is surjective. When X is a threefold, we deduce that X is factorial if and only if rkNS 2 (F) = 1. This allows us to prove the existence of factorial threefolds with many singularities." @default.
- W2067894522 created "2016-06-24" @default.
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- W2067894522 date "2008-10-01" @default.
- W2067894522 modified "2023-09-24" @default.
- W2067894522 title "FACTORIALITY AND NÉRON–SEVERI GROUPS" @default.
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- W2067894522 doi "https://doi.org/10.1142/s021919970800296x" @default.
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