Annals of K-Theory
- Ann. K-Theory
- Volume 3, Number 3 (2018), 461-490.
On a localization formula of epsilon factors via microlocal geometry
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.
Ann. K-Theory, Volume 3, Number 3 (2018), 461-490.
Received: 3 February 2017
Revised: 16 May 2017
Accepted: 23 July 2017
First available in Project Euclid: 24 July 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14C35: Applications of methods of algebraic $K$-theory [See also 19Exx] 14F10: Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials [See also 13Nxx, 32C38] 19M05: Miscellaneous applications of $K$-theory
Abe, Tomoyuki; Patel, Deepam. On a localization formula of epsilon factors via microlocal geometry. Ann. K-Theory 3 (2018), no. 3, 461--490. doi:10.2140/akt.2018.3.461. https://projecteuclid.org/euclid.akt/1532397765