Arithmetic D-modules on the unit disk

作者：Crew Richard^*; Matsuda Shigeki

来源：Compositio Mathematica, 2012, 148(1): 227-268.

DOI：10.1112/S0010437X11005471

• arithmetic D-module
• canonical extension

Let V be a complete discrete valuation ring of mixed characteristic. We classify arithmetic D-modules on Spf(V[[t]]) up to certain kind of 'analytic isomorphism'. This result is used to construct canonical extensions (in the sense of Katz and Gabber) for objects of this category.

• 出版日期2012-1