B. Kazarnovskii

activity

20122020

most citedOn piecewise pluriharmonic functions

5 citations · 12 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.DG2019★ 3 cited

The ring of normal densities, Gelfand transform and smooth BKK-type theorems

Dmitri Akhiezer, Boris Kazarnovskii

We suggest an algorithm allowing to obtain some new integral-geometric formulae from the existing formulae of Crofton type. These new formulae are applied to get smooth versions of…

math.DG2018★ 1 cited

Mixed Hermitian volume and number of common zeros of holomorphic functions

Boris Kazarnovskii

Let $V_{i}$ be a finite dimensional Hermitian vector space of holomorphic sections of a line bundle $L_{i}$ on a complex $n$ -dimensional manifold $X$ . We associate to $V_{i}$ the non-neg…

math.DG2018

Average number of zeros and mixed symplectic volume of Finsler sets

Dmitri Akhiezer, Boris Kazarnovskii

Let $X$ be an $n$ -dimensional manifold and $V_{1}, \dots, V_{n} \subset C^{\infty} (X, R)$ finite-dimensional vector spaces with Euclidean metric. We assign to each $V_{i}$ a Finsl…