Algebraic connections vs. algebraic $\mathcal D$-modules: regularity conditions
نویسندگان
چکیده
منابع مشابه
The Algebraic Theory of D-modules
These are draft notes of the course I gave in fall semester 2015 at the Weizmann Institute of Science, under the guidance of Joseph Bernstein. Notes by Alexander Shamov. Typos are probable, mistakes possible, comments welcome.
متن کاملAlgebraic D-modules: A First Example
These are notes from a talk given in the algebraic geometry student seminar at the University of Utah in December 2016. In this talk, we discussed the basic definitions in the theory of algebraic D-modules, and we explored a family of simple examples. The intent of this talk was to give the flavor of the theory without many details. No results are proven in this document. For a detailed constru...
متن کاملNotes on Crystals and Algebraic D-modules
∇ : V → V ⊗ ΩX . Then the flat sections of V determine a local system L on X. For every point x ∈ X, the fiber of the local system Lx can be identified with the fiber Vx. Given a path p : [0, 1] from x = p(0) to y = p(1), there is a map p! : Lx → Ly is given by parallel transport along p, using the connection ∇; moreover the map p! depends only on the homotopy class of the path p. This construc...
متن کاملDwork Cohomology and Algebraic D-modules
Using local cohomology and algebraic D-Modules, we generalize a comparison theorem between relative de Rham cohomology and Dwork cohomology due to N. Katz, A. Adolphson and S. Sperber.
متن کاملOn Dwork Cohomology and Algebraic D-modules
After works by Katz, Monsky, and Adolphson-Sperber, a comparison theorem between relative de Rham cohomology and Dwork cohomology is established in a paper by Dimca-Maaref-Sabbah-Saito in the framework of algebraic D-modules. We propose here an alternative proof of this result. The use of Fourier transform techniques makes our approach more functorial. 1. Review of algebraic D-modules For the r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2018
ISSN: 0213-2230
DOI: 10.4171/rmi/1008