Results 1 to 10 of about 111,535 (175)
On special quadratic birational transformations of a projective space into a hypersurface [PDF]
, 2012 We study transformations as in the title with emphasis on those having smooth connected base locus, called “special”. In particular, we classify all special quadratic birational maps into a quadric hypersurface whose inverse is given by quadratic forms ...
Giovanni Staglianò
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The Du Bois complex of a hypersurface and the minimal exponent [PDF]
Duke mathematical journal, 2021 We study the Du Bois complex $\underline{\Omega}_Z^\bullet$ of a hypersurface $Z$ in a smooth complex algebraic variety in terms its minimal exponent $\widetilde{\alpha}(Z)$.
M. Mustaţă +3 more
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Positive scalar curvature and minimal hypersurface singularities [PDF]
Surveys in Differential Geometry, 2017 In this paper we develop methods to extend the minimal hypersurface approach to positive scalar curvature problems to all dimensions. This includes a proof of the positive mass theorem in all dimensions without a spin assumption.
R. Schoen, S. Yau
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Realizing Wireless Communication Through Software-Defined HyperSurface Environments [PDF]
IEEE International Symposium on a World of Wireless, Mobile and Multimedia Networks, 2018 Wireless communication environments are unaware of the ongoing data exchange efforts within them. Moreover, their effect on the communication quality is intractable in all but the simplest cases.
C. Liaskos +5 more
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Hodge ideals and spectrum of isolated hypersurface singularities [PDF]
Annales de l'Institut Fourier, 2019 We introduce Hodge ideal spectrum for isolated hypersurface singularities to see the difference between the Hodge ideals and the microlocal $V$-filtration modulo the Jacobian ideal.
Seung-Jo Jung +3 more
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Polymer brush hypersurface photolithography
Nature Communications, 2020 Polymer brush patterns have a central role in established and emerging research disciplines, from microarrays and smart surfaces to tissue engineering. The properties of these patterned surfaces are dependent on monomer composition, polymer height, and ...
Carlos Carbonell +7 more
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The Chow Ring of a Cubic Hypersurface [PDF]
International mathematics research notices, 2018 We study the product structure on the Chow ring (with rational coefficients) of a cubic hypersurface in projective space and prove that the image of the product map is as small as possible.
Humberto A. Diaz
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Formal Verification of a Programmable Hypersurface [PDF]
International Workshop on Formal Methods for Industrial Critical Systems, 2018 A metasurface is a surface that consists of artificial material, called metamaterial, with configurable electromagnetic properties. This paper presents work in progress on the design and formal verification of a programmable metasurface, the Hypersurface,
Panagiotis Kouvaros +5 more
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A sufficient condition for a hypersurface to be isoparametric [PDF]
, 2018 Let $M^n$ be a closed Riemannian manifold on which the integral of the scalar curvature is nonnegative. Suppose $\mathfrak{a}$ is a symmetric $(0,2)$ tensor field whose dual $(1,1)$ tensor $\mathcal{A}$ has $n$ distinct eigenvalues, and $\mathrm{tr ...
Zizhou Tang, Dongyi Wei, Wenjiao Yan
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Hypersurface-deformation algebroids and effective spacetime models [PDF]
, 2016 In canonical gravity, covariance is implemented by brackets of hypersurface-deformation generators forming a Lie algebroid. Lie-algebroid morphisms, therefore, allow one to relate different versions of the brackets that correspond to the same spacetime ...
M. Bojowald +3 more
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