Search results for "Geometria"

showing 10 items of 422 documents

A short survey on Lie theory and Finsler geometry

2017

The aim of this chapter is to provide readers with a common thread to the many topics dealt with in this book, which is intermediate and which aims at postgraduate students and young researchers, wishing to intrigue those who are not experts in some of the topics. We also hope that this book will contribute in encouraging new collaborations among disciplines which have stemmed from related problems. In this context, we take the opportunity to recommend the book by Hawkins [18]. A basic bibliography is outlined between the lines.

Settore MAT/05 - Analisi MatematicaBibliographyFinsler manifoldThread (computing)Lie theorySettore MAT/03 - GeometriaTopologyGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)MathematicsEpistemologyLie groups and Lie algebras non associative algebra Finsler Geometry
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On the 2-(25, 5, λ) design of zero-sum 5-sets in the Galois field GF(25)

2017

In this paper we consider the incidence structure ${\mathcal{D}}=({\mathcal{F}},{\mathcal{B}}_5^{0}),$ where ${\mathcal{F}}$ is the Galois field with $25$ elements, and ${\mathcal{B}}_5^{0}$ is the family of all $5$-subsets of $\mathcal F$ whose elements sum up to zero. It is known that ${\mathcal{D}}$ is a $2$-$(25,5,71)$ design. Here we provide two alternative, direct proofs of this result and, moreover, we prove that ${\mathcal{D}}$ is not a $3$-design. Furthermore, if ${\mathcal{B}}_5^{x}$ denotes the family of all $5$-subsets of $\mathcal F$ whose elements sum up to a given element $x \in \mathcal F,$ we also provide an alternative, direct proof that $({\mathcal{F}},{\mathcal{B}}_5^{x}…

Settore MAT/05 - Analisi MatematicaBlock designs $2$-designs zero sumsSettore MAT/03 - Geometria
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Lie Groups, Differential Equations, and Geometry. Advances and Surveys

2017

This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.

Settore MAT/05 - Analisi MatematicaLie theory Finsler geometrySettore MAT/03 - Geometria
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FINVALI 2005 - Aree scientifiche: percorsi e risultati

2009

Si presenta l'attività di ricerca del PROGETTO FINALIZZATO “FINVALI 2005”: obiettivi cognitivi, saperi minimi e linguaggi nelle prove nazionali di fine ciclo relativamente all'area matematica e all’area delle scienze sperimentali.

Settore MAT/05 - Analisi Matematicavalutazione competenze invalsiSettore BIO/05 - ZoologiaSettore MAT/03 - GeometriaSettore MAT/04 - Matematiche Complementari
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Canetti

2012

“La mostruosa struttura del potere” nasce per Canetti dall’ostinato, insensato e inutile sforzo dell’uomo di allontanare da sé la morte. La vita, la sopravvivenza il potere del singolo è costruito su cumuli di morti. La storia, ha schivato o ignorato questi processi e, in ogni caso, ha finito col fare confusione. Non si è riflettuto abbastanza, d’altra parte sul fatto che alle categorie di “potere”, e “potenza” inevitabilmente si affianca quella di “impotenza estrema” la cui massima espressione è la morte.

Settore SPS/07 - Sociologia GeneralePotere massa geometria della visibilità metamorfosi
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A criterion for extending morphisms from open subsets of smooth fibrations of algebraic varieties

2021

Abstract Given a smooth morphism Y → S and a proper morphism P → S of algebraic varieties we give a sufficient condition for extending an S-morphism U → P , where U is an open subset of Y, to an S-morphism Y → P , analogous to Zariski's main theorem.

Smooth morphismPure mathematicsAlgebra and Number TheoryAlgebraic varietySmooth fibrationZariski’s main theoremFiberwise birational morphismProper morphismMathematics::Algebraic GeometryMorphismExtending a morphismMathematics::Category TheorySettore MAT/03 - GeometriaMathematicsJournal of Pure and Applied Algebra
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On the geometry of S2

2009

We investigate topological properties of the moduli space of spin structures over genus two curves. In particular, we provide a combinatorial description of this space and give a presentation of the (rational) cohomology ring via generators and relations.

Spin curvemoduli spacecohomology ringSettore MAT/03 - Geometria
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Derivations of the (n, 2, 1)-nilpotent Lie Algebra

2016

In this paper, we study derivations of the (2, n, 1)-nilpotent Lie Algebra

Statistics and ProbabilityPure mathematicsApplied MathematicsGeneral Mathematics010102 general mathematics010103 numerical & computational mathematics01 natural sciencesAlgebraNilpotent Lie algebraSettore MAT/03 - GeometriaDerivation0101 mathematicsNilpotent Lie Algebras derivations.MathematicsJournal of Mathematical Sciences
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Extremal polynomials in stratified groups

2018

We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal subriemannian geodesics in stratified nilpotent Lie groups. They satisfy a set of remarkable structure relations that are used to integrate the adjoint equations.

Statistics and Probabilityextremal polynomialsMathematics - Differential GeometryPure mathematicsGeodesicStructure (category theory)Group Theory (math.GR)Characterization (mathematics)algebra01 natural sciencesdifferentiaaligeometriaMathematics - Analysis of PDEsMathematics - Metric Geometry53C17FOS: Mathematics0101 mathematicsAlgebraic numberMathematics - Differential Geometry; Mathematics - Differential Geometry; Mathematics - Analysis of PDEs; Mathematics - Group Theory; Mathematics - Metric Geometry; Mathematics - Optimization and Control; 53C17; 49K30; 17B70Mathematics - Optimization and ControlMathematics010102 general mathematicsStatisticsta111polynomitProlongation53C17 49K30 17B70Lie groupMetric Geometry (math.MG)abnormal extremals010101 applied mathematicsNilpotent Lie algebraNilpotentsub-Riemannian geometryabnormal extremals extremal polynomials Carnot groups sub-Riemannian geometryAbnormal extremals; Carnot groups; Extremal polynomials; Sub-Riemannian geometry; Analysis; Statistics and Probability; Geometry and Topology; Statistics Probability and UncertaintyDifferential Geometry (math.DG)Optimization and Control (math.OC)Carnot groups17B70Probability and UncertaintyGeometry and TopologyStatistics Probability and UncertaintyMathematics - Group TheoryAnalysisAnalysis of PDEs (math.AP)Mathematics - Differential Geometry; Mathematics - Differential Geometry; Mathematics - Analysis of PDEs; Mathematics - Group Theory; Mathematics - Metric Geometry; Mathematics - Optimization and Control; 53C17 49K30 17B7049K30
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Additive Steiner triple systems

2014

A Steiner triple system is additive if it can be embedded in a commutative group in such a way that the sum of the three points in any given block is zero. In this paper we show that a Steiner triple system is additive if and only if it is the point-line design of either a projective space PG(d,2) over GF(2) or an affine space AG(d,3) over GF(3), for d ≥ 1. Our proof is based on algebraic arguments and on the combinatorial characterization of finite projective geometries in terms of Veblen points.

Steiner triple systemSettore MAT/03 - Geometria
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