Iterated vanishing cycles

作者：Massey David B^*

来源：Manuscripta Mathematica, 2013, 141(3-4): 699-716.

DOI：10.1007/s00229-012-0588-4

If A(circle) is a bounded, constructible complex of sheaves on a complex analytic space X, and f : X -> C and g : X -> C are complex analytic functions, then the iterated vanishing cycles phi(g)[-1](phi f [-1] A(circle)) are important for a number of reasons. We give a formula for the stalk cohomology H*(fg[-1] f f [-1] A(circle)) x in terms of relative polar curves, algebra, and Morse modules of A(circle).

• 出版日期2013-7
• 单位东北大学