A DESCENT LEMMA

被引:0
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作者
BEAUVILLE, A
LASZLO, Y
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O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A be a ring, f a nonzero divisor in A, ($) over cap A the completion of A for the (f)-adic topology. We prove that the data of a vector bundle on Spec (A) is equivalent to the data of a vector bundle on the open subset f not equal 0 of Spec (A) and on Spec (($) over cap A), together with an isomorphism of their pull back to the open subset f not equal 0 of Spec (A).
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页码:335 / 340
页数:6
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