Results 31 to 40 of about 1,716 (199)
Cutting hyperplane arrangements [PDF]
Proceedings of the sixth annual symposium on Computational geometry - SCG '90, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the freeness of hypersurface arrangements consisting of hyperplanes and spheres
Open Mathematics, 2018 Let V be a smooth variety. A hypersurface arrangement 𝓜 in V is a union of smooth hypersurfaces, which locally looks like a union of hyperplanes. We say 𝓜 is free if all these local models can be chosen to be free hyperplane arrangements.
Gao Ruimei, Dai Qun, Li Zhe
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Lefschetz properties and hyperplane arrangements [PDF]
Journal of Algebra, 2020 To appear in the Journal of ...
Elisa Palezzato, Michele Torielli
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A computation on the decomposition factors of D -modules over a hyperplane arrangement in space
, 2020 Let m be a positive integer,α_i:C^n⟶C^n, for i=1,2,…,m be linear forms and H_i={P∈C^n:α_i (P)=0} be the corresponding hyperplane for each i=1,2,…,m . The linear forms α_1,α_2,…,α_m define a hyperplane arrangement and X=C^n\V(α), where α=∏_(i=1)^m α_i and
Ababaw, Tilahun, Demelash, Smegnsh
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Hyperplane arrangements with a lattice of regions [PDF]
Discrete & Computational Geometry, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anders Björner +2 more
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Geometric aspects of the Jacobian of a hyperplane arrangement
, 2023 An embedding of the complete bipartite graph $K_{3,3}$ in $\mathbb{P}^2$ gives rise to both a line arrangement and a bar-and-joint framework. For a generic placement of the six vertices, the graded Betti numbers of the logarithmic module of derivations ...
Sidman, Jessica +2 more
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Hyperplane Arrangements in the Grassmannian
Le MatematicheThe Euler characteristic of a very affine variety encodes the algebraic complexity of solving likelihood (or scattering) equations on this variety. We study this quantity for the Grassmannian with $d$ hyperplane sections removed. We provide a combinatorial formula, and explain how to compute this Euler characteristic in practice, both symbolically and ...
E. Mazzucchelli, D. Pavlov, K. Wang
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The Monodromy Conjecture for hyperplane arrangements [PDF]
Geometriae Dedicata, 2011 Added: 2.6-2.9 discussing the p-adic ...
Budur, Nero +2 more
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A Converse to a Theorem of Oka and Sakamoto for Complex Line Arrangements
Mathematics, 2013 Let C1 and C2 be algebraic plane curves in ℂ 2 such that the curves intersect in d1 · d2 points where d1, d2 are the degrees of the curves respectively. Oka and Sakamoto proved that π1( ℂ 2 \ C1 U C2)) ≅ π1 ( ℂ 2 \ C1) × π1 ( ℂ 2 \
Kristopher Williams
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Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
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