Mathematics – Number Theory
Scientific paper
2011-09-09
Mathematics
Number Theory
A "Concluding Remarks" Section added
Scientific paper
Let K be a global function field of positive characteristic p and let M be a (commutative) finite and flat K-group scheme. We show that the kernel of the canonical localization map H^{1}(K,M)\to\prod_{all v}H^{1}(K_{v},M) in flat (fppf) cohomology can be computed solely in terms of Galois cohomology. We then give applications to the case where M is the kernel of multiplication by p^{m} on an abelian variety defined over K.
Gonzalez-Aviles Cristian D.
Tan Ki-Seng
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