5 citations · 12 across the 6 of their papers we have counts for
7 papers
Ring of conditions for affine space
Boris Kazarnovskii
The exponential sum (ES) is a linear combination of characters of an additive group . The exponential analytic set (EAS) is a set of common zeroes of a finite tuple of…
Average number of solutions
Boris Kazarnovskii
Let be an -dimensional manifold and finite-dimensional vector spaces. For systems of equations $\{f_i = a_i\colon\: f_i\in V_i,…
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…
Mixed Hermitian volume and number of common zeros of holomorphic functions
Boris Kazarnovskii
Let be a finite dimensional Hermitian vector space of holomorphic sections of a line bundle on a complex -dimensional manifold . We associate to the non-neg…
Average number of zeros and mixed symplectic volume of Finsler sets
Dmitri Akhiezer, Boris Kazarnovskii
Let be an -dimensional manifold and finite-dimensional vector spaces with Euclidean metric. We assign to each a Finsl…
Newton polyhedra, tropical geometry and the ring of condition for
Boris Kazarnovskii, Askold Khovanskii
The ring of conditions defined by C. De Concini and C. Procesi is an intersection theory for algebraic cycles in a spherical homogeneous space. In the paper we consider the ring of…