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

Autor:	Montoya, William D.
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry 14C30 14M10 14J70 14M25
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.03803 Zobrazit plný text záznamu View this record from Arxiv