23 citations · 45 across the 15 of their papers we have counts for
21 papers
Log -divisible groups and semi-stable representations
Alessandra Bertapelle, Shanwen Wang, Heer Zhao
Let be a henselian DVR with field of fractions and residue field of characteristic . Let denote endowed with the…
Canonical Witt formal scheme extensions and p-torsion groups
Alessandra Bertapelle, Nicola Mazzari, Arnab Saha
We study the -th arithmetic jet space of the -torsion subgroup attached to a smooth commutative formal group scheme. We show that the -th jet space above fits in the middl…
The relatively perfect Greenberg transform and cycle class maps
Alessandra Bertapelle, Takashi Suzuki
Given a scheme over a complete discrete valuation ring of mixed characteristic with perfect residue field, the Greenberg transform produces a new scheme over the residue field thic…
Arithmetic jet spaces
Alessandra Bertapelle, Emma Previato, Arnab Saha
We extend Borger's construction of algebraic jet spaces to allow for an arbitrary prolongation sequence, clarify the relation between Borger's and Buium's jet spaces and compare th…
Greenberg algebras and ramified Witt vectors
Alessandra Bertapelle, Maurizio Candilera
Let O be a complete discrete valuation ring of mixed characteristic and with finite residue field k. We study a natural morphism between the Greenberg algebra of O and the special…
Motivic periods and Grothendieck arithmetic invariants
F. Andreatta, L. Barbieri-Viale, A. Bertapelle
We construct a period regulator for motivic cohomology of an algebraic scheme over a subfield of the complex numbers. For the field of algebraic numbers we formulate a period conje…