Results 51 to 60 of about 111,535 (175)
Fat equator effect and minimality in immersions and submersions of the sphere
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley +1 more source
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
semanticscholar +1 more source
Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
wiley +1 more source
Motivic Milnor fiber of a quasi-ordinary hypersurface [PDF]
, 2011 Let $f$ be a germ of complex analytic function at $({\mathbf{C}}^{d+1}, 0)$ such that its zero level defines an irreducible germ of quasi-ordinary hypersurface $(S,0)$.
Perez, Pedro Daniel Gonzalez +1 more
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An Index Theorem for Modules on a Hypersurface Singularity [PDF]
, 2011 A topological interpretation of Hochster's Theta pairing of two modules on a hypersurface ring is given in terms of linking numbers. This generalizes results of M. Hochster and proves a conjecture of J. Steenbrink.
R. Buchweitz, D. Straten
semanticscholar +1 more source
On the order of an automorphism of a smooth hypersurface [PDF]
, 2011 In this paper we give an effective criterion as to when a positive integer q is the order of an automorphism of a smooth hypersurface of dimension n and degree d, for every d ≥ 3, n ≥ 2, (n, d) ≠ (2, 4), and gcd(q, d) = gcd(q, d − 1) = 1.
V. González-Aguilera, Alvaro Liendo
semanticscholar +1 more source
Arithmetic sparsity in mixed Hodge settings
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3511-3521, November 2025.Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
wiley +1 more source
Oka properties of some hypersurface complements [PDF]
, 2011 Oka manifolds can be viewed as the "opposite" of Kobayashi hyperbolic manifolds. Kobayashi asked whether the complement in projective space of a generic hypersurface of sufficiently high degree is hyperbolic.
Alexander Hanysz
semanticscholar +1 more source
Journal of Computational Chemistry, Volume 46, Issue 28, October 30, 2025.This image categorizes global optimization methods into stochastic and deterministic approaches. Stochastic methods include techniques like Genetic Algorithms, Simulated Annealing, and Machine Learning, often involving randomness. Deterministic methods, such as Molecular Dynamics and Single‐Ended methods, follow defined rules without randomness.
Jorge Alberto Sanchez Alvarez +1 more
wiley +1 more source
M\"obius and Laguerre geometry of Dupin Hypersurfaces
, 2015 In this paper we show that a Dupin hypersurface with constant M\"{o}bius curvatures is M\"{o}bius equivalent to either an isoparametric hypersurface in the sphere or a cone over an isoparametric hypersurface in a sphere.
Li, Tongzhu, Qing, Jie, Wang, Changping
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