Dylan Pentland

activity

20182026

most citedComputing L-Polynomials of Picard curves from Cartier-Manin matrices

3 citations · 4 across the 5 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 3 cited

Computing L-Polynomials of Picard curves from Cartier-Manin matrices

Sualeh Asif, Francesc Fité, Dylan Pentland

We study the sequence of zeta functions $Z (C_{p}, T)$ of a generic Picard curve $C : y^{3} = f (x)$ defined over $Q$ at primes $p$ of good reduction for $C$ . We define a degree 9 po…

math.RT2020

Filtrations on block subalgebras of reduced universal enveloping algebras

Andrei Ionov, Dylan Pentland

We study the interaction between the block decompositions of reduced universal enveloping algebras in positive characteristic, the PBW filtration, and the nilpotent cone. We provid…