Results 41 to 50 of about 68 (56)
Geproci sets and the combinatorics of skew lines in $\mathbb P^3$
, 2023 Geproci sets of points in $\mathbb P^3$ are sets whose general projections to $\mathbb P^2$ are complete intersections. The first nontrivial geproci sets came from representation theory, as projectivizations of the root systems $D_4$ and $F_4$.
Chiantini, Luca +6 more
core
Bumpless pipe dreams encode Gr\"obner geometry of Schubert polynomials
, 2023 In their study of infinite flag varieties, Lam, Lee, and Shimozono (2021) introduced bumpless pipe dreams in a new combinatorial formula for double Schubert polynomials.
Klein, Patricia, Weigandt, Anna
core
Double-dimer condensation and the PT-DT correspondence
, 2022 We resolve an open conjecture from algebraic geometry, which states that two generating functions for plane partition-like objects (the "box-counting" formulae for the Calabi-Yau topological vertices in Donaldson-Thomas theory and Pandharipande-Thomas ...
Jenne, Helen +2 more
core
Deformations of Zappatic stable surfaces and their Galois covers
This paper considers some algebraic surfaces that can deform to planar Zappatic stable surfaces with a unique singularity of type En. We prove that the Galois covers of these surfaces are all simply connected of general type, for n >= 4, and we give a ...
Amram, Meirav, Gong, Cheng, Mo, JiaLi
core
A Molev-Sagan type formula for double Schubert polynomials
We give a Molev-Sagan type formula for computing the product $\mathfrak{S}_u(x;y)\mathfrak{S}_v(x;z)$ of two double Schubert polynomials in different sets of coefficient variables where the descents of $u$ and $v$ satisfy certain conditions that ...
Samuel, Matthew J.
core +1 more source
$B_{n-1}$-orbits on the flag variety and the Bruhat graph for $S_{n}\times S_{n}$
Let $G=G_{n}=GL(n)$ be the $n\times n$ complex general linear group and embed $G_{n-1}=GL(n-1)$ in the top left hand corner of $G$. The standard Borel subgroup of upper triangular matrices $B_{n-1}$ of $G_{n-1}$ acts on the flag variety of $G$ with ...
Colarusso, Mark, Evens, Sam
core
, 2020 We initiate the study of a class of real plane algebraic curves which we call expressive. These are the curves whose defining polynomial has the smallest number of critical points allowed by the topology of the set of real points of a curve. This concept
Fomin, Sergey, Shustin, Eugenii
core
On the codimension of permanental varieties
In this article, we study permanental varieties, i.e. varieties defined by the vanishing of permanents of fixed size of a generic matrix. Permanents and their varieties play an important, and sometimes poorly understood, role in combinatorics.
Boralevi, Ada +3 more
core
On the torsion part in the K-theory of imaginary quadratic fields. [PDF]
Manuscr MathEmery V.
europepmc +1 more source
A cluster of results on amplituhedron tiles. [PDF]
Lett Math PhysEven-Zohar C +5 more
europepmc +1 more source