Torus quotient of the Grassmannian $G_{n,2n}$ by Nayek, Arpita, Saha, Pinakinath

Subjects: “…Grassmannian…”
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Deep Grassmannian multiview subspace clustering with contrastive learning by Rui Wang, Haiqiang Li, Chen Hu, Xiao-Jun Wu, Yingfang Bao

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Covering gonality of symmetric products of curves and Cayley–Bacharach condition on Grassmannians by Francesco Bastianelli, Nicola Picoco

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Generic stabilizers for simple algebraic groups acting on orthogonal and symplectic Grassmannians by Aluna Rizzoli

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Grassmannian Constellation Based on Antipodal Points and Orthogonal Design and Its Simplified Detecting Algorithm by Li Peng, Dacong Hu, Lin Zhang, Zhen Qin

“…This study presents a framework of the unitary space time modulation (USTM) constellation based on antipodal points over Grassmannian manifold. The antipodal constellation enables an intrinsic simplified ML detecting algorithm. …”
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The nonexistence of rank 4 IP tensors in signature (1,3) by Kelly Jeanne Pearson, Tan Zhang

“…We show that there exists no algebraic curvature tensor R on V so that its associated skew-symmetric operator R(⋅) has rank 4 and constant eigenvalues on the Grassmannian of nondegenerate 2-planes in V.…”
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$q$-Rationals and Finite Schubert Varieties by Ovenhouse, Nicholas

“…We give a new interpretation, showing that the numerators of $q$-rationals count the sizes of certain varieties over finite fields, which are unions of open Schubert cells in some Grassmannian.…”
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Quantum Mechanics on a Curved Snyder Space by Salvatore Mignemi, Rina Štrajn

“…Its representations can be obtained starting from those of the Snyder algebra and exploiting the geometrical properties of the phase space that can be identified with a Grassmannian manifold. Both the position and momentum operators turn out to have a discrete spectrum.…”
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Topological 1D gravity, KP hierarchy, and orbifold Euler characteristics of M‾g,n by Zhiyuan Wang, Jian Zhou

“…The first is to use (fat or thin) topological recursion formulas emerging from the Virasoro constraints for Z1D; and the second is to use a formula for the connected n-point functions of a KP tau-function in terms of its affine coordinates on the Sato Grassmannian. This is a sequel to an earlier work [34].…”
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Quadratic forms in $I^n$ of dimension $2^n+2^{n-1}$ by Harvey, Curtis R., Karpenko, Nikita A.

“…As well, we compute the reduced Chow group of the maximal orthogonal grassmannian of the quadratic form and conclude that its canonical $2$-dimension is $2^n+2^{n-2}-2$.…”
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Real quartic surfaces containing 16 skew lines by Isidro Nieto

“…It is well known that there is an open three-dimensional subvariety Ms of the Grassmannian of lines in ℙ3 which parametrizes smooth irreducible complex surfaces of degree 4 which are Heisenberg invariant, and each quartic contains 32 lines but only 16 skew lines, being determined by its configuration of lines, are called a double 16. …”
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Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches by A. Tripathi, B. Chauhan, A. K. Rao, R. P. Malik

“…In particular, we capture the off-shell nilpotency and absolute anticommutativity of the conserved (anti-)BRST charges within the framework of the newly proposed (anti-)chiral supervariable approach (ACSA) to BRST formalism where only the (anti-)chiral supervariables (and their suitable super expansions) are taken into account along the Grassmannian direction(s). One of the novel observations of our present investigation is the derivation of the Curci-Ferrari- (CF-) type restriction by the requirement of the absolute anticommutativity of the (anti-)BRST charges in the ordinary space. …”
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Superspace Unitary Operator in Superfield Approach to Non-Abelian Gauge Theory with Dirac Fields by T. Bhanja, D. Shukla, R. P. Malik

“…The ordinary 4D non-Abelian theory, defined on the flat 4D Minkowski spacetime manifold, is generalized onto a (4, 2)-dimensional supermanifold which is parameterized by the spacetime bosonic coordinates xμ (with μ=0,1,2,3) and a pair of Grassmannian variables (θ,θ-) which satisfy the standard relationships: θ2=θ-2=0 and  θθ-+θ-θ=0. …”
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Enhancement of convolutional neural network for urban environment parking space classification by S. Rahman, M. Ramli, F. Arnia, R. Muharar, M. Ikhwan, S. Munzir

“…It can be shown that this architecture is more efficient in classifying parking spaces compared to some other architectures, such as the mini–Alex Network (mAlexnet) and the Grassmannian Deep Stacking Network with Illumination Correction (GDSN-IC). …”
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