On the Hodge, Tate and Mumford-Tate Conjectures for Fibre Products of Families of Regular Surfaces with Geometric Genus 1

The Hodge, Tate and Mumford-Tate conjectures are proved for the fibre product of two non-isotrivial 1-parameter families of regular surfaces with geometric genus 1 under some conditions on degenerated fibres, the ranks of the N\'eron - Severi groups of generic geometric fibres and representatio...

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Bibliographic Details
Main Author: Olga V. Oreshkina (Nikol’skaya)
Format: Article
Language:English
Published: Yaroslavl State University 2018-06-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/689