2024 The Hodge Conjecture for Powers of K3 Surfaces of Picard Number 16
Mauro Varesco
Michigan Math. J. Advance Publication 1-32 (2024). DOI: 10.1307/mmj/20236349

Abstract

We study the Hodge conjecture for powers of K3 surfaces and show that if the Kuga–Satake correspondence is algebraic for a family of K3 surfaces of generic Picard number 16, then the Hodge conjecture holds for all powers of any K3 surface in that family.

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Mauro Varesco. "The Hodge Conjecture for Powers of K3 Surfaces of Picard Number 16." Michigan Math. J. Advance Publication 1 - 32, 2024. https://doi.org/10.1307/mmj/20236349

Information

Received: 7 February 2023; Revised: 22 April 2024; Published: 2024
First available in Project Euclid: 23 September 2024

Digital Object Identifier: 10.1307/mmj/20236349

Keywords: 14C30

Rights: Copyright © 2024 The University of Michigan

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