15 citations · 21 across the 4 of their papers we have counts for
4 papers
Statistics on Hilbert's Sixteenth Problem
Antonio Lerario, Erik Lundberg
We study the statistics of the number of connected components and the volume of a random real algebraic hypersurface in RP^n defined by a Real Bombieri-Weyl distributed homogeneous…
Geometry of Maslov cycles
Davide Barilari, Antonio Lerario
We introduce the notion of induced Maslov cycle, which describes and unifies geometrical and topological invariants of many apparently unrelated problems, from Real Algebraic Geome…
Complexity of intersections of real quadrics and topology of symmetric determinantal varieties
Antonio Lerario
Let X be the base locus of a linear system W of k quadrics. Let also S be the intersection of W with the discriminant hypersurface in the space of all homogeneous polynomials of de…
A real viewpoint on the intersection of complex quadrics and its topology
Antonio Lerario
We study the relation between a complex projective set C in CP^n and the set R in RP^(2n+1) defined by viewing each equation of C as a pair of real equations. Once C is presented b…