Abstract
Given a lisse l -adic sheaf G on a smooth proper variety X and a lisse sheaf ℱ on an open dense U in X , Kato and Saito conjectured a localization formula for the global l -adic epsilon factor e l ( X , ℱ ⊗ G ) in terms of the global epsilon factor of ℱ and a certain intersection number associated to det ( G ) and the Swan class of ℱ . In this article, we prove an analog of this conjecture for global de Rham epsilon factors in the classical setting of D X -modules on smooth projective varieties over a field of characteristic zero.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
