Characteristic cycle of the exterior product of constructible sheaves

Abstract

We show that the characteristic cycle of the exterior product of constructible complexes is the exterior product of the characteristic cycles of factors. This implies the compatibility of characteristic cycles with smooth pull-back which is a first step in the proof of the index formula.

9 pages. This article is a new version of the second part of "Notes on the characteristic cycle of a constructible sheaf" arXiv:1603.07865 which has been withdrawn

References in corpus (1)

• The characteristic cycle and the singular support of a constructible sheaf

Cited by in corpus (3)

• Duality and nearby cycles over general bases
• Cohomological Milnor formula and Saito's conjecture on characteristic classes
• A geometric approach to the sup-norm problem for automorphic forms: the case of newforms on $G{L}_2({\mathbb{F}}_q(T))$ with squarefree level