3 citations · 5 across the 6 of their papers we have counts for
6 papers
Delta Characters and Filtered Isocrystals
Lance Gurney, Sudip Pandit, Arnab Saha
Given an abelian scheme over a -adic ring , Borger and Saha constructed a filtered module with a…
Prismatization over
Lance Gurney
The aim of this article is to given an extension of the prismatization functor for -adic formal schemes (whose construction was first sketched by Drinfeld and then given by Bhat…
Frobenius lifts and elliptic curves with complex multiplication
Lance Gurney
We give a new characterisation of elliptic curves of Shimura type in terms commuting families of Frobenius lifts and also strengthen an old principal ideal theorem for ray class fi…
Canonical lifts and -structures
James Borger, Lance Gurney
We extend the Serre-Tate theory of canonical lifts of ordinary abelian varieties to arbitrary unpolarised families of ordinary abelian varieties parameterised by a -adic formal…
Elliptic curves with complex multiplication and -structures
Lance Gurney
This thesis examines the relationship between elliptic curves with complex multiplication and Lambda structures. Our main result is to show that the moduli stack of elliptic curves…
Canonical lifts of families of elliptic curves
James Borger, Lance Gurney
We show that the canonical-lift construction for ordinary elliptic curves over perfect fields of characteristic extends uniquely to arbitrary families of ordinary elliptic cu…