Results 11 to 20 of about 9,740 (84)
Some conjectures on continuous rational maps into spheres
, 2015 Recently continuous rational maps between real algebraic varieties have attracted the attention of several researchers. In this paper we continue the investigation of approximation properties of continuous rational maps with values in spheres. We propose
Kucharz, Wojciech, Kurdyka, Krzysztof
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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
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On prime spaces of neutrosophic extended triplet groups
Open MathematicsThis article aims to investigate the Zariski topology on the set of prime ideals of a weak commutative neutrosophic extended triplet group (NETG) NN, denoted by Prim(N){\rm{Prim}}\left(N).
Zhou Xin, Xin Xiao Long
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A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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Classification of Moduli Spaces of Arrangements of 9 Projective Lines
, 2013 In this paper, we present a proof that the list of the classification of arrangements of 9 lines by Nazir and Yoshinaga is complete.Comment: Changed notations in the definition of moduli space to improve clarity.
Ye, Fei
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Osculating geometry and higher‐order distance Loci
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
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Around groups in Hilbert Geometry
, 2014 This is survey about action of group on Hilbert geometry. It will be a chapter of the "Handbook of Hilbert geometry" edited by G. Besson, M. Troyanov and A.
Marquis, Ludovic
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The motive of the Hilbert scheme of points in all dimensions
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo +3 more
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Fomenko-Mischenko Theory, Hessenberg Varieties, and Polarizations
, 2008 The symmetric algebra g (denoted S(\g)) over a Lie algebra \g (frak g) has the structure of a Poisson algebra. Assume \g is complex semi-simple.
A. Borel +7 more
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Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
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