Results 71 to 80 of about 1,716 (199)
Hyperplane arrangements associated to symplectic quotient singularities [PDF]
, 2018 We study the hyperplane arrangements associated, via the minimal model programme, to symplectic quotient singularities. We show that this hyperplane arrangement equals the arrangement of CM-hyperplanes coming from the representation theory of restricted ...
Schedler, Travis +2 more
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Lorentzian homogeneous structures with indecomposable holonomy
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley +1 more source
AI‐Enhanced Vibrational Capsule for Minimally Invasive Detection of Abnormal Bowel Tissue
Advanced Science, Volume 13, Issue 23, 23 April 2026.A fully integrated vibration‐assisted capsule is presented for the minimally invasive detection of bowel lesions. The capsule incorporates a wireless sensor and an eccentric motor to probe tissue mechanics in situ. By coupling triaxial vibration signals with AI‐based classification and analytical modeling, the system enables early, non‐visual ...
Xizheng Fang +6 more
wiley +1 more source
Vanishing results for the cohomology of complex toric hyperplane complements [PDF]
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of ...
Simona Settepanella, Mike W. Davis
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Advanced Science, Volume 13, Issue 23, 23 April 2026.This review offers a comprehensive comparison between perovskites and perovskite‐inspired materials (PIMs), focusing on their crystal structures, electronic properties, and chemical compositions. It evaluates the applicability of machine learning (ML) descriptors and models across both material classes.
Yangfan Zhang +6 more
wiley +1 more source
Metamorphosis and lncRNAs: A Close Relationship
genesis, Volume 64, Issue 2, April 2026.ABSTRACT The classical definition of metamorphosis is a post‐embryonic transformation, such as from a tadpole to a froglet. However, recent studies suggest this process occurs to some degree in all vertebrates, as the underlying endocrine and molecular pathways are highly conserved. With the advent of high‐throughput sequencing, transcriptomic data for
H. Herrera‐Orozco +1 more
wiley +1 more source
The face semigroup algebra of a hyperplane arrangement
, 2009 This article presents a study of an algebra spanned by the faces of a hyperplane arrangement. The quiver with relations of the algebra is computed and the algebra is shown to be a Koszul algebra.
Franco V Saliola
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
q-algebras and arrangements of hyperplanes
Journal of Algebra, 2004 Varchenko's approach to quantum groups, from the theory of arrangements of hyperplanes, can be usefully applied to q-algebras in general, of which quantum groups and quantum (super) Kac-Moody algebras are special cases. New results are obtained on the classification of q-algebras, and of the Serre ideals of generalized quantum (super) Kac-Moody ...
openaire +3 more sources
Hyperplane arrangement face algebras and their associated Markov chains.
, 1997 Let ${\cal A}$ be a hyperplane arrangement and let F and G be two of its faces. We define the product of F and G to be the smallest face whose closure contains F and which is separated from G by the fewest number of hyperplanes. Extending this product to
Bidigare, Thomas Patrick
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