Poitou-Tate duality for arithmetic schemes
Thomas H. Geisser, Alexander Schmidt
TL;DR
This paper extends Poitou-Tate duality, a fundamental concept in number theory, to a broader class of schemes over rings of integers of global fields, enhancing its applicability in arithmetic geometry.
Contribution
It provides a new generalization of Poitou-Tate duality applicable to schemes of finite type over rings of integers of global fields.
Findings
Established duality for a wider class of schemes.
Connected duality theory with arithmetic schemes.
Extended classical results to new geometric contexts.
Abstract
We give a generalization of Poitou-Tate duality to schemes of finite type over rings of integers of global fields.
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