Results 61 to 70 of about 1,727 (223)
On higher Jacobians, Laplace equations, and Lefschetz properties
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
wiley +1 more source
Transversal Jacobi Operators in Almost Contact Manifolds
Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
doaj +1 more source
Curves of best approximation on wonderful varieties
Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon +2 more
wiley +1 more source
Fat equator effect and minimality in immersions and submersions of the sphere
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
Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
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
Algebraicity of Global Real Analytic Hypersurfaces [PDF]
Let X be an algebraic manifold without compact component and let V be a compact coherent analytic hypersurface in X, with finite singular set. We prove that V is diffeotopic (in X) to an algebraic hypersurface in X if and only if the homology class represented by V is algebraic and singularities are locally analytically equivalent to Nash singularities.
Kurdyka, Krzysztof, Kucharz, Wojciech
openaire +2 more sources
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
In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
doaj
Substituting molecular dynamics simulations by a neural network surrogate model to speed up multiscale force‐field parameter optimization and increase knowledge about the optimization objective. Molecular modeling plays a vital role in many scientific fields, ranging from material science to drug design.
Robin Strickstrock +3 more
wiley +1 more source
Tangent cones and regularity of real hypersurfaces [PDF]
Abstract We characterize 𝒞 1 $\mathcal {C}^1$ embedded ...
Ralph Howard, Mohammad Ghomi
openaire +3 more sources

