10 citations · 16 across the 6 of their papers we have counts for
6 papers
Perfectoid covers of abelian varieties and the weight-monodromy conjecture
Peter Wear
Deligne's weight-monodromy conjecture gives control over the poles of local factors of L-functions of varieties at places of bad reduction. His proof in characteristic p was a step…
The conjugate uniformization via 1-motives
Sean Howe, Jackson S. Morrow, Peter Wear
We use the -divisible group attached to a 1-motive to generalize the conjugate -adic uniformization of Iovita--Morrow--Zaharescu to arbitrary -adic formal semi-abelian sch…
On Picard Groups of Perfectoid Covers of Toric Varieties
Gabriel Dorfsman-Hopkins, Anwesh Ray, Peter Wear
Let be a proper smooth toric variety over a perfectoid field of prime residue characteristic . We study the perfectoid space which covers constructe…
Perfectoid covers of abelian varieties
Clifford Blakestad, Damián Gvirtz-Chen, Ben Heuer +4
For an abelian variety over an algebraically closed non-archimedean field of residue characteristic , we show that there exists a perfectoid space which is the tilde-limit o…
Properties of Extended Robba Rings
Peter Wear
We extend the analogy between the extended Robba rings of p-adic Hodge theory and the one-dimensional affinoid algebras of rigid analytic geometry, proving some fundamental propert…
Partition Statistics Equidistributed with the Number of Hook Difference One Cells
Jiaoyang Huang, Andrew Senger, Peter Wear +1
Let be a partition, viewed as a Young diagram. We define the hook difference of a cell of to be the difference of its leg and arm lengths. Define to be the num…