Characteristic cycle and the Euler number of a constructible sheaf on a surface

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.

34 pages

References in corpus (2)

• Functorial desingularization of quasi-excellent schemes in characteristic zero: the non-embedded case
• Ramification and nearby cycles for l-adic sheaves on relative curves

Cited by in corpus (1)

• Refined characteristic class and conductor formula