Peter Wear

activity

20142023

most citedPerfectoid covers of abelian varieties

10 citations · 16 across the 6 of their papers we have counts for

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math.AG2023★ 2 cited

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…

math.AG2020★ 2 cited

On Picard Groups of Perfectoid Covers of Toric Varieties

Gabriel Dorfsman-Hopkins, Anwesh Ray, Peter Wear

Let $X$ be a proper smooth toric variety over a perfectoid field of prime residue characteristic $p$ . We study the perfectoid space $X^{p er f}$ which covers $X$ constructe…

math.AG2018★ 10 cited

Perfectoid covers of abelian varieties

Clifford Blakestad, Damián Gvirtz-Chen, Ben Heuer +4

For an abelian variety $A$ over an algebraically closed non-archimedean field of residue characteristic $p$ , we show that there exists a perfectoid space which is the tilde-limit o…