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Polymer brush hypersurface photolithography

open access: yesNature Communications, 2020
Various lithographic approaches are being explored to create polymer brush patterns with micrometer-scale feature dimensions. Here the authors demonstrate a printing approach which allows independent control of the monomer composition and feature height ...
Carlos Carbonell   +7 more
doaj   +2 more sources

The Du Bois complex of a hypersurface and the minimal exponent [PDF]

open access: yesDuke 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
semanticscholar   +1 more source

Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space

open access: yesUniverse, 2023
We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface.
Erhan Güler
doaj   +1 more source

A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2023
In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Her­mitian manifold.
M. B. Banaru
doaj   +1 more source

Positive scalar curvature and minimal hypersurface singularities [PDF]

open access: yesSurveys 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
semanticscholar   +1 more source

Realizing Wireless Communication Through Software-Defined HyperSurface Environments [PDF]

open access: yesIEEE 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
semanticscholar   +1 more source

Hodge ideals and spectrum of isolated hypersurface singularities [PDF]

open access: yesAnnales 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
semanticscholar   +1 more source

Abelianized Structures in Spherically Symmetric Hypersurface Deformations

open access: yesUniverse, 2022
In canonical gravity, general covariance is implemented by hypersurface-deformation symmetries on thephase space. The different versions of hypersurface deformations required for full covariance have complicated interplays with one another, governed by ...
Martin Bojowald
doaj   +1 more source

On the rationality of generating functions of certain hypersurfaces over finite fields

open access: yesAIMS Mathematics, 2023
Let $ a, n $ be positive integers and let $ p $ be a prime number. Let $ \mathbb F_q $ be the finite field with $ q = p^a $ elements. Let $ \{a_i\}_{i = 1}^\infty $ be an arbitrary given infinite sequence of elements in $ \mathbb F_q $ and $ a_1\neq 0 $.
Lin Han, Guangyan Zhu, Zongbing Lin
doaj   +1 more source

The Chow Ring of a Cubic Hypersurface [PDF]

open access: yesInternational 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
semanticscholar   +1 more source

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