A Weak (k,k)-Lefschetz Theorem for Projective Toric Orbifolds
Algebraic Geometry
2023-02-09 v1
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.
Cite
@article{arxiv.2302.03803,
title = {A Weak (k,k)-Lefschetz Theorem for Projective Toric Orbifolds},
author = {William D. Montoya},
journal= {arXiv preprint arXiv:2302.03803},
year = {2023}
}
Comments
8 pages