26 citations · 68 across the 11 of their papers we have counts for
11 papers
On multidimensional Schur rings of finite groups
Gang Chen, Qing Ren, Ilia Ponomarenko
For any finite group and a positive integer , we define andstudy a Schur ring over the direct power , which gives an algebraic interpretation of the partition of …
Notes on finite totally -closed permutation groups
Gang Chen, Qing Ren
Let be a normal subgroup of a finite group . For a faithful -set , applying the university embedding theorem one can construct a faithful -set . In this short no…
Cayley-Bacharach Formulas
Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels
The Cayley-Bacharach Theorem states that all cubic curves through eight given points in the plane also pass through a unique ninth point. We write that point as an explicit rationa…
Bitangents of tropical plane quartic curves
Matt Baker, Yoav Len, Ralph Morrison +2
We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in algebraic geometry. For…
Tropicalization of Del Pezzo Surfaces
Qingchun Ren, Kristin Shaw, Bernd Sturmfels
We determine the tropicalizations of very affine surfaces over a valued field that are obtained from del Pezzo surfaces of degree 5, 4 and 3 by removing their (-1)-curves. On these…
Algorithms for Mumford curves
Ralph Morrison, Qingchun Ren
Mumford showed that Schottky subgroups of give rise to certain curves, now called Mumford curves, over a non-Archimedean field K. Such curves are foundational to subject…
Tropicalization of classical moduli spaces
Qingchun Ren, Steven V Sam, Bernd Sturmfels
The image of the complement of a hyperplane arrangement under a monomial map can be tropicalized combinatorially using matroid theory. We apply this to classical moduli spaces that…
Ordered Partitions and Drawings of Rooted Plane Trees
Qingchun Ren
We study the bounded regions in a generic slice of the hyperplane arrangement in consisting of the hyperplanes defined by and . The bounded regions ar…
The Universal Kummer Threefold
Qingchun Ren, Steven V Sam, Gus Schrader +1
The universal Kummer threefold is a 9-dimensional variety that represents the total space of the 6-dimensional family of Kummer threefolds in 7-dimensional projective space. We com…
Computational approaches to Poisson traces associated to finite subgroups of Sp(2n,C)
Pavel Etingof, Sherry Gong, Aldo Pacchiano +2
We reduce the computation of Poisson traces on quotients of symplectic vector spaces by finite subgroups of symplectic automorphisms to a finite one, by proving several results whi…
On the asymptotic S_n-structure of invariant differential operators on symplectic manifolds
Qingchun Ren, Travis Schedler
We consider the space of polydifferential operators on n functions on symplectic manifolds invariant under symplectic automorphisms, whose study was initiated by Mathieu in 1995. P…