72 citations · 117 across the 35 of their papers we have counts for
5 papers · 1 filter
Linear estimate for the number of zeros of Abelian integrals
S. G. Malev, D. Novikov
We prove a linear in upper bound on the number of real zeros of the Abelian integral , where is the real oval and i…
A direct proof of one Gromov's theorem
Yu. D. Burago, S. G. Malev, D. Novikov
We give a new proof of the Gromov theorem: For any and integer there exists a function such that if the Gromov--Hausdorff distance between complete Riemannian…
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…