Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames

DOI10.1137/16M1068773zbMath1370.42023arXiv1311.4748MaRDI QIDQ5347293

Dustin G. Mixon, Nate Strawn, Jameson Cahill

Publication date: 23 May 2017

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4748

zbMATH Keywords

irreducible varietyreal algebraic geometrytight frameframe theoryfull spark

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Special classes of linear operators (47B99) Topology of real algebraic varieties (14P25)

Related Items (20)

Admissibility and frame homotopy for quaternionic frames ⋮ The degree of Stiefel manifolds ⋮ Polytopes of eigensteps of finite equal norm tight frames ⋮ Toric symplectic geometry and full spark frames ⋮ On the number of Waring decompositions for a generic polynomial vector ⋮ Lie PCA: density estimation for symmetric manifolds ⋮ Optimal Parseval frames: total coherence and total volume ⋮ Path-connectedness and topological closure of some sets related to the non-compact Stiefel manifold ⋮ Decomposing tensors into frames ⋮ Full spark frames in the orbit of a representation ⋮ Fusion frame homotopy and tightening fusion frames by gradient descent ⋮ Spherical \((t,t)\)-designs with a small number of vectors ⋮ On the search for tight frames of low coherence ⋮ The algebraic matroid of the finite unit norm tight frame (funtf) variety ⋮ Waring decompositions and identifiability via Bertini and Macaulay2 software ⋮ Symplectic geometry and connectivity of spaces of frames ⋮ Signal reconstruction from frame and sampling erasures ⋮ Full spark frames and totally positive matrices ⋮ Frame potential for finite-dimensional Banach spaces ⋮ Tight frames for cyclotomic fields and other rational vector spaces

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