Galois descent for higher Brauer groups
نویسندگان
چکیده
منابع مشابه
Galois Descent and Severi-brauer Varieties
We say an algebraic object or property over a field k is arithmetic if it becomes trivial or vanishes after finite separable base extension. Since such objects or properties owe their existence to the presence of “arithmetic gaps” in k, i.e., the failure of k to be algebraically closed, we view them as responses to specific arithmetic properties of k, and we study them in order to gain insight ...
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Let L/K be a field extension. A K-vector space W can be extended to an L-vector space L⊗KW , and W embeds into L⊗KW by w 7→ 1⊗w. Under this embedding, when W 6= 0 a K-basis {ei} of W turns into an L-basis {1⊗ ei} of L⊗KW . Passing from W to L⊗KW is called ascent. In the other direction, if we are given an L-vector space V 6= 0, we may ask how to describe the K-subspaces W ⊂ V such that a K-basi...
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2019
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-019-01170-5