Results 111 to 120 of about 42,383 (261)
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
semanticscholar +1 more source
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
MathematicsIn this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal ...
Norah Alshehri, Mohammed Guediri
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Quantum fields and entanglement on a curved lightfront
Physics Letters B, 2015 We consider field quantization on an arbitrary null hypersurface in curved spacetime. We discuss the de Sitter horizon as the simplest example, relating the horizon quantization to the standard Fock space in the cosmological patch.
Illan Halpern, Yasha Neiman
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A geometric flow on null hypersurfaces of Lorentzian manifolds
Topological Algebra and its Applications, 2022 We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing ...
Massamba Fortuné, Ssekajja Samuel
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What is the total Betti number of a random real hypersurface [PDF]
, 2011 We bound from above the expected total Betti number of a high degree random real hypersurface in a smooth real projective manifold. This upper bound is deduced from the equirepartition of critical points of a real Lefschetz pencil restricted to the ...
D. Gayet, Jean-Yves Welschinger
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Machine Learning for Synthetic Organic Chemistry: Methods, Applications, and Best Practices
Angewandte Chemie Novit, Volume 2, Issue 3, September 2026.Artificial intelligence (AI) and machine learning (ML) are increasingly reshaping experimental chemistry. This review maps the challenges of synthetic organic chemistry to modern digital tools that can help address them. While focusing on the practical application of ML tools in real‐world laboratory settings, we outline prerequisites, emerging ...
Niklas Hölter +3 more
wiley +1 more source
Surface and form in contemporary architecture / Paviršius ir forma šiuolaikinėje architektūroje
Mokslas: Lietuvos Ateitis, 2012 Architectural form in contemporary architecture gains more and more independence and visual difference from the tectonic structure of the building. Many researchers of contemporary architecture separate a building’s “skin” from its carcass.
Algimantas M. Mačiulis
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The discriminant and the determinant of a hypersurface of even dimension [PDF]
, 2011 For a smooth hypersurface of even dimension, the quadratic character of the absolute Galois group defined by the determinant of the -adic cohomology of middle dimension is computed via the square root of the discriminant of a defining polynomial of the ...
Takeshi Saito
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Visibility and Intersection Density for Boolean Models in Hyperbolic Space
Mathematische Nachrichten, Volume 299, Issue 9, Page 2542-2565, September 2026.ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler +2 more
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