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math.DG2002
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…
math.DG2002
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…
math.DG2002
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…