The generality of local class field theory (Generalized local class field theory. V.)
نویسندگان
چکیده
منابع مشابه
Local Class Field Theory Contents
1 Wedderburn theory and the Brauer group 2 1.1 Algebras and modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 The Brauer group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Splitting fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Crossed products . . . . . . . . . . . . . . . . ...
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(1.1) cX,D,lr : H n s (XNis,K M n (OX , ID))/l r −→ H s (Xét, j!μ ⊗n lr ) for a prime number l 6= p and r > 0. Here j denotes the natural open immersion X − Supp(D) →֒ X, ID ⊂ OX denotes the defining ideal of D and K M n (OX , ID) denotes a certain Milnor K-sheaf in the Nisnevich topology (see Notation below). We will review the construction of this map in §3. The group H s (XNis,K M n (OX , ID)...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1957
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1957-0090583-0