Results 21 to 30 of about 4,435 (183)
Local Euler obstructions for determinantal varieties [PDF]
Topology and its Applications, 2022 19 pages.
Lőrincz, András C., Raicu, Claudiu
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On minimality of determinantal varieties [PDF]
Linear Algebra and its Applications, 2021 We prove that semialgebraic sets of rectangular matrices of a fixed rank, of skew-symmetric matrices of a fixed rank and of real symmetric matrices whose eigenvalues have prescribed multiplicities are minimal submanifolds of the space of real matrices of a given size.
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Determinantal varieties over truncated polynomial rings
Journal of Pure and Applied Algebra, 2005 29 pages, 1 ...
Košir, Tomaž, Sethuraman, B.A.
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Linear codes associated to determinantal varieties
Discrete Mathematics, 2015 We consider a class of linear codes associated to projective algebraic varieties defined by the vanishing of minors of a fixed size of a generic matrix. It is seen that the resulting code has only a small number of distinct weights. The case of varieties defined by the vanishing of 2 x 2 minors is considered in some detail.
BEELEN, P, GHORPADE, SR, UL HASAN, S
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Geometric rank and linear determinantal varieties
European Journal of Mathematics, 2023 There are close relations between tripartite tensors with bounded geometric ranks and linear determinantal varieties with bounded codimensions. We study linear determinantal varieties with bounded codimensions, and prove upper bounds of the dimensions of the ambient spaces.
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Homological projective duality for determinantal varieties
Advances in Mathematics, 2016 23 pages.
Bernardara, Marcello +2 more
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Determinantal variety and normal embedding [PDF]
Journal of Topology and Analysis, 2017 The space [Formula: see text] of matrices of positive determinant inherits an extrinsic metric space structure from [Formula: see text]. On the other hand, taking the infimum of the lengths of all paths connecting a pair of points in [Formula: see text] gives an intrinsic metric.
Katz, K. +3 more
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Determinantal Varieties From Point Configurations on Hypersurfaces
International Mathematics Research Notices, 2023 Abstract We consider the scheme $X_{r,d,n}$ parameterizing $n$ ordered points in projective space $\mathbb {P}^{r}$ that lie on a common hypersurface of degree $d$. We show that this scheme has a determinantal structure, and we prove that it is irreducible, Cohen–Macaulay, and normal.
Caminata A., Moon H. B., Schaffler L.
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Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
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FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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