3 papers
math.CV2025
Bernstein-Markov measures and Toeplitz theory
Siarhei Finski
We prove that Toeplitz operators associated with a Bernstein-Markov measure on a compact complex manifold endowed with a big line bundle form an algebra under composition. As an ap…
math.CV2024
Toeplitz operators, submultiplicative filtrations and weighted Bergman kernels
Siarhei Finski
We demonstrate that the weight operator associated with a submultiplicative filtration on the section ring of a polarized complex projective manifold is a Toeplitz operator. We fur…
math.AG2024
On Harder-Narasimhan slopes of direct images
Siarhei Finski
For a polarized family of complex projective manifolds, we study the asymptotic distribution of Harder-Narasimhan slopes of direct image sheaves associated with high tensor powers…