Results 31 to 40 of about 334,818 (268)
From non-Kählerian surfaces to Cremona group of P2(C)
Complex Manifolds, 2014 For any minimal compact complex surface S with n = b2(S) > 0 containing global spherical shells (GSS) we study the effectiveness of the 2n parameters given by the n blown up points.
Dloussky Georges
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Orientations and Geometrisations of Compact Complex Surfaces [PDF]
Bulletin of the London Mathematical Society, 1997 \textit{A. Beauville} [Astérisque 126, 41-43; appendix to a paper by M. Demazure, pp. 29-43 (1985; Zbl 0574.14032)] raised a natural question for a compact complex surface \(X\): when the underlying topological or smooth manifold carries a complex structure compatible with the opposite orientation, \(\overline X\).
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Tailoring optical complex fields with nano-metallic surfaces
Nanophotonics, 2015 Recently there is an increasing interest in complex optical fields with spatially inhomogeneous state of polarizations and optical singularities.
Rui Guanghao, Zhan Qiwen
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A vanishing theorem for T-branes
Journal of High Energy Physics, 2020 We consider regular polystable Higgs pairs (E, ϕ) on compact complex manifolds. We show that a non-trivial Higgs field ϕ ∈ H 0(End(E) ⊗ K S ) restricts the Ricci curvature of the manifold, generalising previous results in the literature.
Fernando Marchesano +2 more
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Free actions on surfaces that do not extend to arbitrary actions on 3-manifolds
Comptes Rendus. Mathématique, 2022 We provide the first known example of a finite group action on an oriented surface $T$ that is free, orientation-preserving, and does not extend to an arbitrary (in particular, possibly non-free) orientation-preserving action on any compact oriented 3 ...
Samperton, Eric G.
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On rigid compact complex surfaces and manifolds [PDF]
Advances in Mathematics, 2018 This article investigates the subject of rigid compact complex manifolds. First of all we investigate the different notions of rigidity (local rigidity, global rigidity, infinitesimal rigidity, etale rigidity and strong rigidity) and the relations among them. Only for curves these notions coincide and the only rigid curve is the projective line.
Ingrid Bauer, Fabrizio Catanese
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Rich dynamics and functional organization on topographically designed neuronal networks in vitro
iScience, 2022 Summary: Neuronal cultures are a prominent experimental tool to understand complex functional organization in neuronal assemblies. However, neurons grown on flat surfaces exhibit a strongly coherent bursting behavior with limited functionality.
Marc Montalà-Flaquer +7 more
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Cayley deformations of compact complex surfaces [PDF]
Journal of the London Mathematical Society, 2019 In this article, we consider Cayley deformations of a compact complex surface in a Calabi--Yau four-fold. We will study complex deformations of compact complex submanifolds of Calabi--Yau manifolds with a view to explaining why complex and Cayley deformations of a compact complex surface are the same.
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Inoue surfaces and the Chern-Ricci flow
, 2015 We investigate the Chern-Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-Kahler compact complex surfaces of type Class VII.
Ben Weinkove +42 more
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A complexity of compact 3-manifolds via immersed surfaces
Bollettino dell'Unione Matematica Italiana, 2021 We define an invariant, which we call surface-complexity, of compact 3-manifolds by means of Dehn surfaces. The surface-complexity is a natural number measuring how much the manifold is complicated. We prove that it fulfils interesting properties: it is subadditive under connected sum and finite-to-one on $\mathbb{P}^2$-irreducible and boundary ...
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