solidot新版网站常见问题,请点击这里查看。

Envelopes with Prescribed Singularities. (arXiv:1807.05817v1 [math.CV])

来源于:arXiv
We prove that quasi-plurisubharmonic envelopes with prescribed analytic singularities in suitable big cohomology classes on compact K\"ahler manifolds have the optimal $C^{1,1}$ regularity on a Zariski open set. This also proves regularity of certain pluricomplex Green's functions on K\"ahler manifolds. We then go on to prove related regularity results for these envelopes when the manifold is assumed to have boundary. 查看全文>>