We prove a Lefschetz (1,1)-Theorem for proper seminormal varieties over the complex numbers. The proof is a non-trivial geometric argument applied to the isogeny class of the Lefschetz 1-motive associated to the mixed Hodge structure on H^2.
The Néron-Severi group of a proper seminormal complex variety / L. Barbieri Viale, A. Rosenschon, V. Srinivas. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 261:2(2009), pp. 261-276. [10.1007/s00209-008-0324-7]
The Néron-Severi group of a proper seminormal complex variety
L. Barbieri VialePrimo
;
2009
Abstract
We prove a Lefschetz (1,1)-Theorem for proper seminormal varieties over the complex numbers. The proof is a non-trivial geometric argument applied to the isogeny class of the Lefschetz 1-motive associated to the mixed Hodge structure on H^2.
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