Results 21 to 30 of about 4,466 (196)
Solvable Groups, Free Divisors and Nonisolated Matrix Singularities II: Vanishing Topology [PDF]
, 2013 In this paper we use the results from the first part to compute the vanishing topology for matrix singularities based on certain spaces of matrices. We place the variety of singular matrices in a geometric configuration of free divisors which are the ...
Brian Pike +16 more
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The Representation Type of Determinantal Varieties [PDF]
Algebras and Representation Theory, 2017 This is a postprint (AAM) of an article published in Algebras and Representation Theory.
Kleppe, Jan O. +1 more
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A generalized Gaeta's Theorem [PDF]
, 2007 We generalize Gaeta's Theorem to the family of determinantal schemes. In other words, we show that the schemes defined by minors of a fixed size of a matrix with polynomial entries belong to the same G-biliaison class of a complete intersection whenever ...
Gorla, Elisa
core +3 more sources
Determinantal representations of semi-hyperbolic polynomials [PDF]
, 2016 We prove a generalization of the Hermitian version of the Helton-Vinnikov determinantal representation of hyperbolic polynomials to the class of semi-hyperbolic polynomials, a strictly larger class, as shown by an example.
Knese, Greg
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Non-commutative desingularization of determinantal varieties I [PDF]
Inventiones mathematicae, 2010 We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commutative desingularization, in that we construct a maximal Cohen-Macaulay module over such a variety whose endomorphism ring is Cohen-Macaulay and has finite global dimension.
Buchweitz, Ragnar-Olaf +2 more
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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 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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Arteriovenous malformations (AVMs) are rare, high‐flow, vascular anomalies that can occur either sporadically or as part of a genetic syndrome. AVMs can progress with serious morbidity and even mortality if left unchecked. Sirolimus is an mTOR inhibitor that is effective in low‐flow vascular malformations; however, its role in AVMs is unclear.
Will Swansson +3 more
wiley +1 more source