Harmonic discs of solutions to the complex homogeneous Monge-Ampère equationPublications Mathématiques de l'Institut des Hautes Études Scientifiques - Tập 122 - Trang 315-335 - 2015
Julius Ross, David Witt Nyström
We study regularity properties of solutions to the Dirichlet problem for the
complex Homogeneous Monge-Ampère equation. We show that for certain boundary
data on P 1 the solution Φ to this Dirichlet problem is connected via a Legendre
transform to an associated flow in the complex plane called the Hele-Shaw flow.
Using this we determine precisely the harmonic discs associated to Φ. We then
give ex... hiện toàn bộ
Equivariant K-theoryPublications Mathématiques de l'Institut des Hautes Études Scientifiques - Tập 34 - Trang 129-151 - 1968
Graeme Segal
On Stably Free Modules over Affine AlgebrasPublications Mathématiques de l'Institut des Hautes Études Scientifiques - Tập 116 - Trang 223-243 - 2012
J. Fasel, R. A. Rao, R. G. Swan
If X is a smooth affine variety of dimension d over an algebraically closed
field k, and if (d−1)!∈k × then any stably trivial vector bundle of rank (d−1)
over X is trivial. The hypothesis that X is smooth can be weakened to X is
normal if d≥4.