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Weak Graph Map Homotopy and Its Applications
The authors introduce a notion of a weak graph map homotopy (they call it M -homotopy), discuss its properties and applications. They prove that the...
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On a Natural Map Between Twistor Spaces
A diffeomorphism between the twistor spaces of two Riemannian metrics on a smooth manifold preserving the fibers is defined based on a well-known...
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Effective methods for plane quartics, their theta characteristics and the Scorza map
This is a revised version of the lecture notes prepared for the workshop on “Plane quartics, Scorza map and related topics”, held in Catania, January...
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The derived Brauer map via twisted sheaves
Let X be a quasicompact quasiseparated scheme. The collection of derived Azumaya algebras in the sense of Toën forms a group, which contains the...
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A Moment Map for Twisted-Hamiltonian Vector Fields on Locally Conformally Kähler Manifolds
We extend the classical Donaldson-Fujiki interpretation of the scalar curvature as moment map in Kähler geometry to the wider framework of locally...
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From Milnor number to the Euler obstruction of a map on isolated determinantal singularities
Determinantal singularities, a generalization of complete intersections, have been extensively studied in algebraic geometry and singularity theory....
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The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold
The 2-dimensional Lyness map is a 5-periodic birational map of the plane which may famously be resolved to give an automorphism of a log Calabi–Yau...
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Recent Progress in Evaluating the Kohn–Sham Map
In the framework of self-consistent field iteration for solving Kohn–Sham density functional theory (DFT), the evaluation of the Kohn–Sham map is...
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Numerical and Theoretical Studies on the Rational Standard Map at Moderate-to-Large Values of the Amplitude Parameter
In this work an exhaustive numerical and analytical investigation of the dynamics of a bi-parametric symplectic map, the so-called rational standard...
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Finite regular semigroups with permutations that map elements to inverses
We give an account on what is known on the subject of permutation matchings , which are bijections of a finite regular semigroup that map each element...
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Stability of spectral partitions and the Dirichlet-to-Neumann map
The oscillation of a Laplacian eigenfunction gives a great deal of information about the manifold on which it is defined. This oscillation can be...
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An Adjusted Gray Map Technique for Constructing Large Four-Level Uniform Designs
A uniform experimental design (UED) is an extremely used powerful and efficient methodology for designing experiments with high-dimensional inputs,...
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Bergman kernel and period map for curves
As for any symmetric space the tangent space to Siegel upper-half space is endowed with an operation coming from the Lie bracket on the Lie algebra....