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Polymer brush hypersurface photolithography
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
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The Du Bois complex of a hypersurface and the minimal exponent [PDF]
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
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
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A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
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
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Positive scalar curvature and minimal hypersurface singularities [PDF]
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]
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]
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
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
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On the rationality of generating functions of certain hypersurfaces over finite fields
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
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The Chow Ring of a Cubic Hypersurface [PDF]
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