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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>>