February 15, 2024Open Access

On the component group of the algebraic monodromy group of a K3 surface

Key Points

Key points are not available for this paper at this time.

Abstract

We provide a lower bound for the number of components of the algebraic monodromy group in the situation of a K3 surface over a number field k. In the CM case, our bound is sharp. As an application, we describe, in the case of CM, the jump character CEJ, Definition 2.4.6 entirely in terms of the endomorphism field and the geometric Picard rank.

Read Full Paperexternally

Ask AI

Helpful

Bookmark

View Full Paper

Cite This Study

Elsenhans et al. (Thu,) studied this question.

synapsesocial.com/papers/68e7917cb6db643587702af8 https://doi.org/https://doi.org/10.1016/j.jalgebra.2024.02.005

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Abelian l-Adic Representations and Elliptic Curves1997 · 865 citations
2Géométrie algébrique et géométrie analytique1956 · 645 citations
3Commutative algebra with a view toward algebraic geometry1996 · 4,150 citations
4Numerical and Homological Equivalence of Algebraic Cycles on Hodge Manifolds1968 · 121 citations
5Principles of Algebraic Geometry1994 · 6,672 citations

Ask AI

Helpful

Bookmark

View Full Paper