Remote Access Journal of the American Mathematical Society
Green Open Access

Journal of the American Mathematical Society

ISSN 1088-6834(online) ISSN 0894-0347(print)



Characteristic cycles and the conductor of direct image

Author: Takeshi Saito
Journal: J. Amer. Math. Soc. 34 (2021), 369-410
MSC (2010): Primary 14F20
Published electronically: December 2, 2020
Full-text PDF
View in AMS MathViewer New

Abstract | References | Similar Articles | Additional Information

Abstract: We prove the functoriality for a proper push-forward of the characteristic cycles of constructible complexes by morphisms of smooth projective schemes over a perfect field, under the assumption that the direct image of the singular support has the dimension at most that of the target of the morphism. The functoriality is deduced from a conductor formula which is a special case for morphisms to curves. The conductor formula in the constant coefficient case gives the geometric case of a formula conjectured by Bloch.

References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Journal of the American Mathematical Society with MSC (2010): 14F20

Retrieve articles in all journals with MSC (2010): 14F20

Additional Information

Takeshi Saito
Affiliation: School of Mathematical Sciences, University of Tokyo, Tokyo 153-8914, Japan
MR Author ID: 236565

Received by editor(s): May 6, 2017
Received by editor(s) in revised form: May 14, 2019, October 21, 2019, and February 24, 2020
Published electronically: December 2, 2020
Additional Notes: The research was supported by JSPS Grants-in-Aid for Scientific Research (A) 26247002.
Article copyright: © Copyright 2020 American Mathematical Society