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Higher Hasse--Witt matrices
- Publication Year :
- 2016
-
Abstract
- We prove a number of p-adic congruences for the coefficients of powers of a multivariate polynomial f(x) with coefficients in a ring R of characteristic zero. If the Hasse--Witt operation is invertible, our congruences yield p-adic limit formulas which conjecturally describe the Gauss--Manin connection and the Frobenius operator on the unit-root crystal attached to f(x). As a second application, we associate with f(x) formal group laws over R. Under certain assumptions these formal group laws are coordinalizations of the Artin--Mazur functors. (This is a final version which we send for a publication.)<br />Comment: This paper is an extension of my earlier preprint 'Explicit p-adic unit-root formulas for hypersurfaces' (arXiv:1501.04280 [math.NT] )
- Subjects :
- Mathematics - Number Theory
Mathematics - Algebraic Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1605.06440
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.indag.2018.07.004