30 citations · 88 across the 16 of their papers we have counts for
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math.AG2022
Extensions and torsors for finite group schemes
Peter Bruin
We give an explicit description of the category of central extensions of a group scheme by a sheaf of Abelian groups. Based on this, we describe a framework for computing with cent…
math.AG2014★ 24 cited
Polynomial bounds for Arakelov invariants of Belyi curves
Ariyan Javanpeykar, Peter Bruin
We explicitly bound the Faltings height of a curve over Q polynomially in its Belyi degree. Similar bounds are proven for three other Arakelov invariants: the discriminant, Falting…
math.AG2010★ 3 cited
Computing in Jacobians of projective curves over finite fields
Peter Bruin
We give algorithms for computing with divisors on projective curves over finite fields, and with their Jacobians, using the algorithmic representation of projective curves develope…