Poitou-Tate Duality for totally positive Galois cohomology
H. Asensouyis, J. Assim, Z. Boughadi, Y. Mazigh
TL;DR
This paper develops a duality theory for totally positive Galois cohomology, extending classical Poitou-Tate duality, and demonstrates its application to twisted modules like e0 la Tate a0a0 Z_2(i).
Contribution
It introduces a Poitou-Tate duality framework specifically for totally positive Galois cohomology, expanding the scope of classical duality results.
Findings
Establishment of a Poitou-Tate duality for totally positive Galois cohomology.
Application of the duality to twisted modules e0 la Tate.
Illustration of the duality in specific module cases.
Abstract
In this paper, we establish a Poitou-Tate's global duality for totally positive Galois cohomology. We illustrate this result in the case of the twisted module "\`a la Tate" , integer.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory