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arXiv · 2302.03803

A Weak (k,k)-Lefschetz Theorem for Projective Toric Orbifolds

William D. Montoya
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Abstract

Firstly we show a generalization of the (1,1)-Lefschetz theorem for projective toric orbifolds and secondly we prove that on 2k-dimensional quasi-smooth hypersurfaces coming from quasi-smooth intersection surfaces, under the Cayley trick, every rational (k,k)-cohomology class is algebraic, i.e., the Hodge conjecture holds on them.

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William D. Montoya. 2023-02-07. A Weak (k,k)-Lefschetz Theorem for Projective Toric Orbifolds. https://arxiv.org/abs/2302.03803

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