33 citations · 49 across the 8 of their papers we have counts for
4 papers · 1 filter
Convex hulls of surfaces in fourspace
Chiara Meroni, Kristian Ranestad, Rainer Sinn
This is a case study of the algebraic boundary of convex hulls of varieties. We focus on surfaces in fourspace to showcase new geometric phenomena that neither curves nor hypersurf…
The Geometry of Discotopes
Fulvio Gesmundo, Chiara Meroni
We study a class of semialgebraic convex bodies called discotopes. These are instances of zonoids, objects of interest in real algebraic geometry and random geometry. We focus on t…
Intersection Bodies of Polytopes
Katalin Berlow, Marie-Charlotte Brandenburg, Chiara Meroni +1
We investigate the intersection body of a convex polytope using tools from combinatorics and real algebraic geometry. In particular, we show that the intersection body of a polytop…
Real Lines on Random Cubic Surfaces
Rida Ait El Manssour, Mara Belotti, Chiara Meroni
We give an explicit formula for the expectation of the number of real lines on a random invariant cubic surface, i.e. a surface defined by a random gaussia…