72 citations · 117 across the 35 of their papers we have counts for
5 papers · 1 filter
Lectures on meromorphic flat connections
D. Novikov, S. Yakovenko
These notes form an extended version of a minicourse delivered in Universite de Montreal (June 2002) within the framework of a NATO workshop ``Normal Forms, Bifurcations and Finite…
L-convex-concave sets in real projective space and L-duality
A. Khovanskii, D. Novikov
We define a class of L-convex-concave subsets of , where L is a projective subspace of dimension l in . These are sets whose sections by any (l+1)-dimension…
On affine hypersurfaces with everywhere nondegenerate Second Quadratic Form
A. Khovanskii, D. Novikov
Consider a closed connected hypersurface in with constant signature (k,l) of the second quadratic form, and approaching a quadratic cone at infinity. This hypersurfa…
Convex-concave body in contains a line
A. Khovanskii, D. Novikov
We define a class of -convex-concave subsets of , where is a projective line in . These are sets whose sections by any plane containing are…
Quasialgebraicity of Picard--Vessiot fields
Dmitry Novikov, Sergei Yakovenko
We prove that under certain spectral assumptions on the monodromy group, solutions of Fuchsian systems of linear equations on the Riemann sphere admit explicit global bounds on the…