Results 61 to 70 of about 3,252 (223)

Notes on polytopes, amplitudes and boundary configurations for Grassmannian string integrals

Journal of High Energy Physics, 2020
We continue the study of positive geometries underlying the Grassmannian string integrals, which are a class of “stringy canonical forms”, or stringy integrals, over the positive Grassmannian mod torus action, G +(k, n)/T .
Song He, Lecheng Ren, Yong Zhang
doaj   +1 more source

On the geometry of the orthogonal momentum amplituhedron

Journal of High Energy Physics, 2022
In this paper we focus on the orthogonal momentum amplituhedron O $$ \mathcal{O} $$ k , a recently introduced positive geometry that encodes the tree-level scattering amplitudes in ABJM theory.
Tomasz Łukowski, Robert Moerman, Jonah Stalknecht   +2 more
doaj   +1 more source

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Grassmannians of codes

Finite Fields and Their Applications
Consider the point line-geometry ${\mathcal P}_t(n,k)$ having as points all the $[n,k]$-linear codes having minimum dual distance at least $t+1$ and where two points $X$ and $Y$ are collinear whenever $X\cap Y$ is a $[n,k-1]$-linear code having minimum dual distance at least $t+1$.
Ilaria Cardinali, Luca Giuzzi
openaire   +3 more sources

The Grassmannian for celestial superamplitudes

Journal of High Energy Physics, 2021
Recently, scattering amplitudes in four-dimensional Minkowski spacetime have been interpreted as conformal correlation functions on the two-dimensional celestial sphere, the so-called celestial amplitudes.
Livia Ferro, Robert Moerman
doaj   +1 more source

On the Foundational Arguments of Sufficient Dimension Reduction

WIREs Computational Statistics, Volume 18, Issue 2, June 2026.
Contemporary Sufficient Dimension Reduction, a versatile method for extracting material information from data, can serve as a preprocessor for classical modeling and inference, or as a standalone theory that leads directly to statistical inference. ABSTRACT Sufficient dimension reduction (SDR) refers to supervised methods of dimension reduction that ...
R. Dennis Cook
wiley   +1 more source

on lagrangian-grassmannian variety

, 2022
In this paper it is shown that Family of Linear Relations of Contraction ($FRLC$) are the only ones, up to linear combination, that vanish the Lagrangian-Grassmannian.
Carrillo-Pacheco, Jesús
core  

Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
We prove an explicit closed formula, written as a sum of Pfaffians, which describes each equivariant Schubert class for the Grassmannian of isotropic subspaces in a symplectic vector ...
Takeshi Ikeda, Tomoo Matsumura
doaj   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Hilbert series of the Grassmannian and $k$-Narayana numbers [PDF]

, 2019
summary:We compute the Hilbert series of the complex Grassmannian using invariant theoretic methods. This is made possible by showing that the denominator of the $q$-Hilbert series is a Vandermonde-like determinant. We show that the $h$-polynomial of the
Braun, Lukas
core   +1 more source