Results 101 to 110 of about 36,312 (298)
Generalized juggling patterns, quiver Grassmannians and affine flag varieties [PDF]
arXiv, 2023 The goal of this paper is to clarify the connection between certain structures from the theory of totally nonnegative Grassmannians, quiver Grassmannians for cyclic quivers and the theory of local models of Shimura varieties. More precisely, we generalize the construction from our previous paper relating the combinatorics and geometry of quiver ...
arxiv
Quantum coherence generating power, maximally abelian subalgebras, and Grassmannian Geometry [PDF]
, 2017 We establish a direct connection between the power of a unitary map in $d$-dimensions ...
P. Zanardi, L. Venuti
semanticscholar +1 more source
On a conjecture on aCM and Ulrich sheaves on degeneracy loci
Mathematische Nachrichten, Volume 298, Issue 4, Page 1148-1166, April 2025.Abstract In this paper, we address a conjecture by Kleppe and Miró‐Roig stating that suitable twists by line bundles (on the smooth locus) of the exterior powers of the normal sheaf of a standard determinantal locus are arithmetically Cohen–Macaulay, and even Ulrich when the locus is linear determinantal.
Vladimiro Benedetti, Fabio Tanturri
wiley +1 more source
Torus quotient of the Grassmannian $G_{n,2n}$
Comptes Rendus. Mathématique, 2023 Let $G_{n,2n}$ be the Grassmannian parameterizing the $n$-dimensional subspaces of $\mathbb{C}^{2n}$. The Picard group of $G_{n,2n}$ is generated by a unique ample line bundle $\mathcal{O}(1)$.
Nayek, Arpita, Saha, Pinakinath
doaj +1 more source
Schubert cells of mixed type in complex Lagrangian Grassmannians [PDF]
arXiv, 2023 We describe CW decompositions of complex Lagrangian Grassmannians, that contain as subcomplexes, CW decompositions of real Lagrangian Grassmannians by Schubert-Arnol'd cells. The degrees of attaching maps are explicitly computed in terms of quantities that can be read off from the corresponding shifted Young diagrams of mixed type.
arxiv
Superconformal partial waves in Grassmannian field theories [PDF]
, 2015 A bstractWe derive superconformal partial waves for all scalar four-point functions on a super Grassmannian space Gr(m|n, 2m|2n) for all m, n. This family of four-point functions includes those of all (arbitrary weight) half BPS operators in both N=4 ...
R. Doobary, P. Heslop
semanticscholar +1 more source
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source
Splitting criteria for vector bundles on the symplectic isotropic Grassmannian
Le Matematiche, 2009 We extend a theorem of Ottaviani on cohomological splitting criterion for vector bundles over the Grassmannian to the case of the symplectic isotropic Grassmanian.
Pedro Macias Marques, Luke Oeding
doaj
Resurgence and dynamics of O(N) and Grassmannian sigma models [PDF]
, 2015 A bstractWe study the non-perturbative dynamics of the two dimensional O(N ) and Grassmannian sigma models by using compactification with twisted boundary conditions on ℝ×S1$$ \mathbb{R}\times {S}^1 $$, semi-classical techniques and resurgence. While the
G. Dunne, M. Ünsal
semanticscholar +1 more source
Geometric structures on finite- and infinite-dimensional Grassmannians
, 2012 In this paper, we study the Grassmannian of n-dimensional subspaces of a 2n-dimensional vector space and its infinite-dimensional analogues. Such a Grassmannian can be endowed with two binary relations (adjacent and distant), with pencils (lines of the ...
Blunck, Andrea, Havlicek, Hans
core +2 more sources