Mumford-Tate and Generalised Shafarevich conjectures
Emmanuel Ullmo, Andrei Yafaev
TL;DR
This paper formulates generalized conjectures related to isogeny, Mumford-Tate, and Shafarevich, and demonstrates their equivalence, advancing understanding in algebraic geometry and number theory.
Contribution
It introduces generalized versions of key conjectures and proves their equivalence, unifying important concepts in the field.
Findings
Generalized conjectures are equivalent
Unified framework for isogeny, Mumford-Tate, and Shafarevich conjectures
Foundational step for future research in algebraic geometry
Abstract
In this paper we formulate generalised Isogeny, Mumford-Tate and Shafarevich conjectures and prove that they are equivalent.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology