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15
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smooth curve of genus $0$ and Brauer group

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#algebraic-geometry #algebraic-curves #arithmetic-geometry #brauer-group
137
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Brauer group of $k$-rational scheme

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#algebraic-geometry #schemes #brauer-group
185
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Brauer group of a field and norms

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#galois-theory #galois-cohomology #brauer-group
45
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Reduction step for studying cyclic algebras over local fields

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#abstract-algebra #local-field #ramification #brauer-group
291
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Why are central simple algebras classified by cohomology?

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#galois-theory #galois-cohomology #brauer-group
162
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What is the central algebra?

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#noncommutative-algebra #brauer-group
39
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Proof of $\operatorname{Br}(K) = H^2(G,K^*)$

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#abstract-algebra #number-theory #group-cohomology #brauer-group
373
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Hasse invariants under extension of scalars

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#algebraic-number-theory #class-field-theory #division-algebras #brauer-group
802
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Geometric fibers $\mathbb P^n$ + Vanishing of Brauer group implies projective bundle

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#algebraic-geometry #projective-schemes #brauer-group
97
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Field with trivial Brauer group that is not of dimension $\leq 1$

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#galois-cohomology #brauer-group
76
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Quaternion algebras Brauer equivalent iff isomorphic

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#abstract-algebra #ring-theory #brauer-group
37
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Why $Br(Spec(K))=Br(K)$ holds?

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#number-theory #arithmetic-geometry #class-field-theory #brauer-group
49
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What is the map $f^*: Br(Y)\to Br(X)$?

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#algebraic-geometry #schemes #arithmetic-geometry #brauer-group
84
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Cohomology of local fields in positive characteristic

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#group-cohomology #class-field-theory #local-field #galois-cohomology #brauer-group
32
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How does Wedderburns's little Theorem imply that central simple Algebras are isomorphic to matrix Algebras over a divison Algebra?

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#representation-theory #brauer-group

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