Equidistribution, variance, and expected distribution theorems are established for zeros of random polynomials with general coefficients and random holomorphic sections of line bundles on Kähler manifolds, generalizing prior results and answering an open question on non-homogeneous manifolds.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CV 2years
2024 2verdicts
UNVERDICTED 2representative citing papers
Derives variance estimates and equidistribution theorems for zeros of random systems of holomorphic sections on Kähler manifolds in general non-Gaussian settings.
citing papers explorer
-
Equidistribution for Random Polynomials and Systems of Random Holomorphic Sections
Equidistribution, variance, and expected distribution theorems are established for zeros of random polynomials with general coefficients and random holomorphic sections of line bundles on Kähler manifolds, generalizing prior results and answering an open question on non-homogeneous manifolds.
-
Random Systems of Holomorphic Sections of a Sequence of Line bundles on Compact K\"{a}hler Manifolds
Derives variance estimates and equidistribution theorems for zeros of random systems of holomorphic sections on Kähler manifolds in general non-Gaussian settings.