16 citations · 28 across the 7 of their papers we have counts for
7 papers
Bott canonical basis?
Yael Karshon, Jihyeon Jessie Yang
Expanding an idea of Raoul Bott, we propose a construction of canonical bases for unitary representations that comes from big torus actions on families of Bott-Samelson manifolds.…
Tropical geometry and Newton-Okounkov cones for Grassmannian of planes from compactifications
Christopher Manon, Jihyeon Jessie Yang
We construct a family of compactifications of the affine cone of the Grassmannian variety of 2-planes. We show that both the tropical variety of the Plücker ideal and familiar valu…
Singular string polytopes and functorial resolutions from Newton-Okounkov bodies
Megumi Harada, Jihyeon Jessie Yang
The main result of this note is that the toric degenerations of flag varieties associated to string polytopes and certain Bott-Samelson resolutions of flag varieties fit into a com…
Newton-Okounkov bodies of Bott-Samelson varieties and Grossberg-Karshon twisted cubes
Megumi Harada, Jihyeon Jessie Yang
We describe, under certain conditions, the Newton-Okounkov body of a Bott-Samelson variety as a lattice polytope defined by an explicit list of inequalities. The valuation that we…
Grossberg-Karshon twisted cubes and basepoint-free divisors
Megumi Harada, Jihyeon Jessie Yang
Let be a complex semisimple simply connected linear algebraic group. The main result of this note is to give several equivalent criteria for the untwistedness of the twisted cu…
Secondary fans and Tropical Severi varieties
Jihyeon Jessie Yang
This article studies the relationship between tropical Severi varieties and secondary fans. In the case when tropical Severi varieties are hypersurfaces this relationship is very w…
Tropical Severi Varieties
Jihyeon Jessie Yang
We study the tropicalizations of Severi varieties, which we call tropical Severi varieties. In this paper, we give a partial answer to the following question, ``describe the tropic…