32 citations · 122 across the 43 of their papers we have counts for
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Lefschetz and Lower Bound theorems for Minkowski sums
Karim Adiprasito
This note provides a Lefschetz theorem for Minkowski sums of polytopes, and conclude lower bound theorems for Minkowski sums of polytopes. It is written as an appendix to arXiv:140…
Convexity of complements of tropical varieties, and approximations of currents
Karim Adiprasito, Farhad Babaee
The goal of this note is to affirm a local version of the conjecture of Nisse--Sottile [NS16] on higher convexity of complements of tropical varieties, while providing a family of…
A Cheeger-type exponential bound for the number of triangulated manifolds
Karim Adiprasito, Bruno Benedetti
In terms of the number of triangles, it is known that there are more than exponentially many triangulations of surfaces, but only exponentially many triangulations of surfaces with…
Barycentric subdivisions of convex complexes are collapsible
Karim Adiprasito, Bruno Benedetti
A classical question in PL topology, asked among others by Hudson, Lickorish, and Kirby, is whether every linear subdivision of the d-simplex is simplicially collapsible. The answe…