The generalized Franchetta conjecture for some hyper-Kähler varieties
نویسندگان
چکیده
منابع مشابه
Kähler (& Hyper-kähler) Manifolds
These notes are based on two talks given at the Arithmetic & Algebraic Geometry Seminar of the Korteweg-de Vriesinstituut for mathematics of the Universiteit van Amsterdam. They are intended to give a short introduction to the theory of Kähler manifolds, with a slight focus of applicability to the subject of K3 surfaces. However, they also include other interesting results not related to K3 sur...
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Let X be a smooth complex projective variety of dimension g. A Hodge class of degree 2d on X is, by definition, an element of H(X,Q)∩H(X). The cohomology class of an algebraic subvariety of codimension d of X is a Hodge class of degree 2d. The classical Hodge conjecture states that any Hodge class on X is algebraic, i.e., a Q-linear combination of classes of algebraic subvarieties of X. Lefsche...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2019
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2019.01.018