8 citations · 9 across the 4 of their papers we have counts for
8 papers
Extreme Divisors on and Differences over Characteristic 2
Mathieu Dutour Sikirić, Eric Jovinelly
We find 101,052 new extreme divisors on (in 31 -orbits) and millions of extreme nef curves over characteristic 0. Over characteristic 2, we identify two more $…
A variation on the Rubik's cube
Mathieu Dutour Sikirić
The Rubik's cube is a famous puzzle in which faces can be moved and the corresponding movement operations define a group. We consider here a generalization to any -valent map. W…
A Canonical Form for Positive Definite Matrices
Mathieu Dutour Sikirić, Anna Haensch, John Voight +1
We exhibit an explicit, deterministic algorithm for finding a canonical form for a positive definite matrix under unimodular integral transformations. We use characteristic sets of…
Voronoi complexes in higher dimensions, cohomology of for and the triviality of
Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, Alexander Kupers +1
We enumerate the low dimensional cells in the Voronoi cell complexes attached to the modular groups and for , using quotient sublattices techniques…
On the Voronoi Conjecture for combinatorially Voronoi parallelohedra in dimension five
Mathieu Dutour Sikirić, Alexey Garber, Alexander Magazinov
In a recent paper Garber, Gavrilyuk and Magazinov proposed a sufficient combinatorial condition for a parallelohedron to be affinely Voronoi. We show that this condition holds for…
Periodic triangulations of
Mathieu Dutour Sikirić, Alexey Garber
We consider in this work triangulations of that are periodic along . They generalize the triangulations obtained from Delaunay tessellations of lattice…