How to glue perverse sheaves

How to glue perverse sheaves
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如何粘合反常滑轮

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发表时间:
1987
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通讯作者:
A. Beilinson
A. Beilinson
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作者:
A. Beilinson

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本注释[0]的目的是对反常层的消失循环构造给出简短、独立的解释;例如,的需要[1]。它与MacPherson-Vilonen [6]和Verdier [8,9]提供的替代方法有些不同,这可能证明了它的出版。正文紧接着S. I. 1982年的Gel'Fand。我非常感激他。我也非常感谢J.伯恩斯坦:建设函子n2以下发现在一个共同的工作与他在1981年春天。我们将只考虑代数情形;符号见[1,§1]。
The aim of this note [0] is to give a short, self-contained account of the vanishing cycle constructions of perverse sheaves; e.g., for the needs of [1]. It differs somewhat from the alternative approaches offered by MacPherson–Vilonen [6] and Verdier [8, 9], which justifies, possibly, its publication. The text follows closely the notes written down by S. I. Gel’fand in 1982. I am much obliged to him. I am also much obliged to J. Bernstein: the construction of the functor Ψ in n2 below was found in a joint work with him in spring 1981. We will consider the algebraic situation only; for notations see [1, §1].