Author:
ACHTER JEFFREY D.,CASALAINA-MARTIN SEBASTIAN,VIAL CHARLES
Abstract
For families of smooth complex projective varieties, we show that normal functions arising from algebraically trivial cycle classes are algebraic and defined over the field of definition of the family. In particular, the zero loci of those functions are algebraic and defined over such a field of definition. This proves a conjecture of Charles.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. A functorial approach to regular homomorphisms;Algebraic Geometry;2023-01-01
2. The Walker Abel–Jacobi map descends;Mathematische Zeitschrift;2021-09-01
3. Cycle Class Maps and Birational Invariants;Communications on Pure and Applied Mathematics;2020-12-12