Characteristic Cycle and the Euler Number of a Constructible Sheaf on a Surface
Vol. 22 (2015), No. 1, Page 387–441.
Saito, Takeshi
Characteristic Cycle and the Euler Number of a Constructible Sheaf on a Surface
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]
Abstract:
We define the characteristic cycle of a constructible sheaf on a smooth surface in the cotangent bundle. We prove that the intersection number with the 0-section equals the Euler number and that the total dimension of vanishing cycles at an isolated characteristic point is also computed as an intersection number.
Keywords: Characteristic cycle, constructible sheaf, vanishing cycles, ramification, Swan conductor, Radon transform.
Mathematics Subject Classification (2010): 14F20, 14G17, 11S15.
Mathematical Reviews Number: MR3329201
Received: 2014-02-27
