2 citations · 2 across the 5 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.AG2024
Gorenstein-Fano polytopes and compactifications of rank 2 polyptych lattices
Adrian Cook, Laura Escobar, Megumi Harada +1
The theory of polyptych lattices was introduced by Escobar, Harada, and Manon, in an effort to simultaneously generalize combinatorial and geometric phenomena seen in toric, cluste…
math.AG2024
Geometric families of degenerations from mutations of polytopes
Laura Escobar, Megumi Harada, Christopher Manon
We introduce the notion of a polyptych lattice, which encodes a collection of lattices related by piecewise linear bijections. We also define and study PL (polyptych-lattice) polyt…
math.AG2024
Spherical amoebae and a spherical logarithm map
Victor Batyrev, Megumi Harada, Johannes Hofscheier +1
Let be a connected reductive algebraic group over with a maximal compact subgroup . Let be a (quasi-affine) spherical homogeneous space. In the first part…