Abstract
Given a lisse -adic sheaf on a smooth proper variety and a lisse sheaf on an open dense in , Kato and Saito conjectured a localization formula for the global -adic epsilon factor in terms of the global epsilon factor of and a certain intersection number associated to and the Swan class of . In this article, we prove an analog of this conjecture for global de Rham epsilon factors in the classical setting of -modules on smooth projective varieties over a field of characteristic zero.
Citation
Tomoyuki Abe. Deepam Patel. "On a localization formula of epsilon factors via microlocal geometry." Ann. K-Theory 3 (3) 461 - 490, 2018. https://doi.org/10.2140/akt.2018.3.461
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