Equidistribution for weakly holomorphic sections of line bundles on algebraic curves

Autor:	Coman, Dan, Marinescu, George
Rok vydání:	2020
Předmět:	Mathematics - Complex Variables Primary 32L10 Secondary 14H60 30F10 32U40
Druh dokumentu:	Working Paper
Popis:	We prove the convergence of the normalized Fubini-Study measures and the logarithms of the Bergman kernels of various Bergman spaces of holomorphic and weakly holomorphic sections associated to a singular Hermitian holomorphic line bundle on an algebraic curve. Using this, we study the asymptotic distribution of the zeros of random sequences of sections in these spaces. Comment: 21 pages; Dedicated to Professor Ahmed Zeriahi on the occasion of his retirement
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.14343 Zobrazit plný text záznamu View this record from Arxiv