A. Langer

activity

19982026

most citedModuli Spaces for Principal Bundles in Arbitrary Characteristic

46 citations · 236 across the 29 of their papers we have counts for

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Showing 2011 · math.AGShow all

3 papers · 2 filters

math.AG2011

Nef line bundles over finite fields

Adrian Langer

We use Totaro's examples of non-semiample nef line bundles on smooth projective surfaces over finite fields to construct nef line bundles for which the first cohomology group canno…

math.AG2011★ 5 cited

Moduli spaces of principal bundles on singular varieties

Adrian Langer

Let k be an algebraically closed field of characteristic zero. Let f:X-->S be a flat, projective morphism of k-schemes of finite type with integral geometric fibers. We prove exist…

math.AG2011★ 2 cited

On a positive equicharacteristic variant of the $p$ -curvature conjecture

Hélène Esnault, Adrian Langer

Our aim is to formulate and prove a weak form in equal characteristic $p > 0$ of the $p$ -curvature conjecture. We also show the existence of a counterexample to a strong form of it.

Nef line bundles over finite fields

Moduli spaces of principal bundles on singular varieties

On a positive equicharacteristic variant of the p-curvature conjecture

On a positive equicharacteristic variant of the $p$ -curvature conjecture