Results 111 to 120 of about 654,082 (251)
Cubic surfaces and their invariants: Some memories of Raymond Stora
Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old and new methods in algebraic geometry. Recently, they made their appearance in physics, and in particular aroused the interest of Raymond Stora, to the ...
Michel Bauer
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The isominwidth problem on the 2‐sphere
Abstract Pál's isominwidth theorem states that for a fixed minimal width, the regular triangle has minimal area. A spherical version of this theorem was proven by Bezdek and Blekherman, if the minimal width is at most π2$\tfrac{\pi }{2}$. If the width is greater than π2$\tfrac{\pi }{2}$, the regular triangle no longer minimizes the area at fixed ...
Ansgar Freyer, Ádám Sagmeister
wiley +1 more source
Local models of Shimura varieties, I. Geometry and combinatorics [PDF]
We survey the theory of local models of Shimura varieties. In particular, we discuss their definition and illustrate it by examples. We give an overview of the results on their geometry and combinatorics obtained in the last 15 years.
Pappas, G., Rapoport, M., Smithling, B.
core
Hausdorff dimension of unions of k$k$‐planes
Abstract We prove a conjecture of R. Oberlin and Héra on the dimension of unions of k$k$‐planes. Let 0
Shengwen Gan
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Valued Graphs and the Representation Theory of Lie Algebras
Quivers (directed graphs), species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra.
Joel Lemay
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Feynman Diagrams in Algebraic Combinatorics
We show, in great detail, how the perturbative tools of quantum field theory allow one to rigorously obtain: a ``categorified'' Faa di Bruno type formula for multiple composition, an explicit formula for reversion and a proof of Lagrange-Good inversion ...
Abdesselam, Abdelmalek
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Study of (p, q)‐Symmetric Starlike Functions of Order η
In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
wiley +1 more source
Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
wiley +1 more source
Topology of matching complexes of complete graphs via discrete Morse theory [PDF]
Bouc (1992) first studied the topological properties of $M_n$, the matching complex of the complete graph of order $n$, in connection with Brown complexes and Quillen complexes. Bj\"{o}rner et al. (1994) showed that $M_n$ is homotopically $(\nu_n-1)$
Anupam Mondal +2 more
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Algebraic Combinatorics in Mathematical Chemistry. Methods and Algorithms. II. Program Implementation of the Weisfeiler-Leman Algorithm [PDF]
Luitpold Babel +3 more
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