Relevant bibliographies by topics / Unexpected hypersurface

Academic literature on the topic 'Unexpected hypersurface'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Unexpected hypersurface"

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Lohkamp, Joachim. "Hyperbolic Unfoldings of Minimal Hypersurfaces." Analysis and Geometry in Metric Spaces 6, no. 1 (August 1, 2018): 96–128. http://dx.doi.org/10.1515/agms-2018-0006.

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Abstract We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure. This new and natural concept reveals some unexpected geometric and analytic properties of H and its singularity set Ʃ. Moreover, it can be used to prove the existence of hyperbolic unfoldings of H\Ʃ. These are canonical conformal deformations of H\Ʃ into complete Gromov hyperbolic spaces of bounded geometry with Gromov boundary homeomorphic to Ʃ. These new concepts and results naturally extend to the larger class of almost minimizers.
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Kossovskiy, Ilya. "Sphericity of a real hypersurface via projective geometry." International Journal of Mathematics 27, no. 12 (November 2016): 1650099. http://dx.doi.org/10.1142/s0129167x16500993.

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In this work, we obtain an unexpected geometric characterization of sphericity of a real-analytic Levi-nondegenerate hypersurface [Formula: see text]. We prove that [Formula: see text] is spherical if and only if its Segre(-Webster) varieties satisfy an elementary combinatorial property, identical to a property of straight lines on the plane and known in Projective Geometry as the Desargues Theorem.
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Favacchio, G., E. Guardo, B. Harbourne, and J. Migliore. "Expecting the unexpected: Quantifying the persistence of unexpected hypersurfaces." Advances in Mathematics 388 (September 2021): 107857. http://dx.doi.org/10.1016/j.aim.2021.107857.

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Dumnicki, Marcin, Łucja Farnik, Brian Harbourne, Grzegorz Malara, Justyna Szpond, and Halszka Tutaj-Gasińska. "A matrixwise approach to unexpected hypersurfaces." Linear Algebra and its Applications 592 (May 2020): 113–33. http://dx.doi.org/10.1016/j.laa.2020.01.023.

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Szpond, Justyna. "Unexpected hypersurfaces with multiple fat points." Journal of Symbolic Computation, July 2020. http://dx.doi.org/10.1016/j.jsc.2020.07.018.

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Vainsencher, I. "Hypersurfaces in P^5 containing unexpected subvarieties." Journal of Singularities, 2014. http://dx.doi.org/10.5427/jsing.2014.9q.

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Harbourne, B., J. Migliore, U. Nagel, and Z. Teitler. "Unexpected Hypersurfaces and Where to Find Them." Michigan Mathematical Journal, July 2020. http://dx.doi.org/10.1307/mmj/1593741748.

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Chmiel, Natalia. "Actual and virtual dimension of codimension 2 general linear subspaces in $${\mathbb {P}}^n$$." Geometriae Dedicata, July 28, 2021. http://dx.doi.org/10.1007/s10711-021-00640-z.

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AbstractIn the paper we compute the virtual dimension (defined by the Hilbert polynomial) of a space of hypersurfaces of given degree containing s codimension 2 general linear subspaces in $${\mathbb {P}}^n$$ P n . We use Veneroni maps to find a family of unexpected hypersurfaces (in the style of B. Harbourne, J. Migliore, U. Nagel, Z. Teitler) and rigorously prove and extend examples presented in the paper by B. Harbourne, J. Migliore and H. Tutaj-Gasińska.
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Harbourne, Brian, Juan Migliore, and Halszka Tutaj-Gasińska. "New constructions of unexpected hypersurfaces in $$\mathbb {P}^n$$." Revista Matemática Complutense, January 9, 2020. http://dx.doi.org/10.1007/s13163-019-00343-w.

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Book chapters on the topic "Unexpected hypersurface"

1

Carlini, Enrico, Huy Tài Hà, Brian Harbourne, and Adam Van Tuyl. "Unexpected Hypersurfaces." In Lecture Notes of the Unione Matematica Italiana, 103–10. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45247-6_13.

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