Results 41 to 50 of about 449 (213)
Algebraic geometry proceedings of Bilkent Summer School
, 1997 This timely resource - based on the Summer School on Algebraic Geometry held recently at Bilkent University, Ankara, Turkey - surveys and applies fundamental ideas and techniques in the theory of curves, surfaces, and threefolds to a wide variety of ...
Algebraic Geometry Summer School 1995 Ankara +1 more
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Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Topics in computation, numerical methods and algebraic geometry [PDF]
, 2010 This thesis concerns computation and algebraic geometry. On the computational side we have focused on numerical homotopy methods. These procedures may be used to numerically solve systems of polynomial equations. The thesis contains four papers. In Paper
David Eklund, Eklund, David
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Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs
Journal of Graph Theory, EarlyView.ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch +5 more
wiley +1 more source
Rigorous Electromagnetic Quasinormal‐Mode Method Made Easy for Users
Laser &Photonics Reviews, EarlyView.We present a method that combines numerical techniques with accurate approximations to enable simple and ultrafast computations of the scattered field based on quasinormal modes expansions. The method is made available in the open‐source package MANlite implemented within COMSOL.
Tong Wu, Philippe Lalanne
wiley +1 more source
PRIN 2015 - Geometry of Algebraic Varieties
, 2017 The overall objective of the project is the research in one of the crucial areas of mathematics, namely algebraic geometry. Its purpose is to contribute to a significant growth of knowledge on algebraic varieties, studying their general properties, the ...
Gianfranco Casnati +11 more
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Algorithms in numerical algebraic geometry and applications [PDF]
, 2015 Includes bibliographical references.2015 Summer.The topics in this dissertation, while independent, are unified under the field of numerical algebraic geometry.
Peterson, Chris, committee member +4 more
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
Packings in Real Projective Spaces
, 2018 This paper applies techniques from algebraic and differential geometry to determine how to best pack points in real projective spaces. We present a computer-assisted proof of the optimality of a particular 6-packing in $\mathbb{R}\mathbf{P}^3$, we ...
Fickus, Matthew C. +2 more
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