Search results for "Algebraic Geometry"

showing 10 items of 356 documents

Big Vector Bundles on Surfaces and Fourfolds

2019

The aim of this note is to exhibit explicit sufficient criteria ensuring bigness of globally generated, rank-$r$ vector bundles, $r \geqslant 2$, on smooth, projective varieties of even dimension $d \leqslant 4$. We also discuss connections of our general criteria to some recent results of other authors, as well as applications to tangent bundles of Fano varieties, to suitable Lazarsfeld-Mukai bundles on four-folds, etcetera.

Pure mathematicsbig vector bundles Lazarsfeld-MukaipositivityGeneral Mathematics010102 general mathematicsDimension (graph theory)Vector bundleTangentFano planevector bundles01 natural sciences14J60 (Primary) 14J35 (Secondary)010101 applied mathematicsMathematics - Algebraic Geometryvector bundles; positivity; vanishing criteriaMathematics::Algebraic Geometryvanishing criteriaFOS: MathematicsSettore MAT/03 - Geometria0101 mathematicsAlgebraic Geometry (math.AG)Mathematics::Symplectic GeometryMathematics
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Motives of quadric bundles and relative intermediate jacobians of K3-Fano pairs

2015

This thesis consists of two parts. In the first part we study the Chow motive of a quadric bundle of odd relative dimension over a surface. We show that this motive admits a decomposition which involves the Prym motive of the double covering of the discriminant curve.In the second part, we consider Lagrangian fibrations, obtained as relative intermediate Jacobians of families of Fano threefolds containing a fixed K3 surface, and the existence of a symplectic compactification. In a particular case, we study a partial compactification using calculations with the software system Macaulay2.

Quadric bundleMotif de ChowIntermediate Jacobian[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]Variété symplectique irréductibleLagrangian fibrationChow motiveFibration LagrangienneJacobienne intermédiaireIrreducible symplectic varietyPaire K3-FanoFibré en quadriquesK3-Fano pair
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"Table 4" of "Probing the quantum interference between singly and doubly resonant top-quark production in $pp$ collisions at $\sqrt{s}=13$ TeV with t…

2019

The systematic uncertainty on the unfolded distribution as a function of minimax-mbl, broken down by components.

Quantitative Biology::BiomoleculesStatistics::TheoryMathematics::Algebraic Geometry13000.0Proton-Proton ScatteringCross SectionSIGMathematics::Geometric TopologyComputer Science::DatabasesP P --> W W b b
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Path Integrals in Noncommutative Geometry

2006

Quantum differential calculusPath integral formulationNoncommutative algebraic geometryNoncommutative quantum field theoryTopologyNoncommutative geometryMathematicsMathematical physics
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On the rigidity theorem for elliptic genera

2018

We give a detailed proof of the rigidity theorem for elliptic gen- era. Using the Lefschetz fixed point formula we carefully analyze the relation between the characteristic power series defining the elliptic genera and the equivariant elliptic genera. We show that equivariant elliptic genera converge to Jacobi functions which are holomorphic. This implies the rigidity of elliptic genera. Our approach can be easily modified to give a proof of the rigidity theorem for the elliptic genera of level N.

Quarter periodPure mathematicsApplied MathematicsGeneral MathematicsMathematical analysisElliptic functionHolomorphic functionMathematics::Geometric TopologyMathematics::Algebraic TopologySupersingular elliptic curveJacobi elliptic functionsHigh Energy Physics::TheoryMathematics::Algebraic GeometryModular elliptic curveElliptic integralSchoof's algorithmMathematics::Symplectic GeometryMathematicsTransactions of the American Mathematical Society
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On some aspects of Borel-Moore homology in motivic homotopy : weight and Quillen’s G-theory

2016

The theme of this thesis is different aspects of Borel-Moore theory in the world of motives. Classically, over the field of complex numbers, Borel-Moore homology, also called “homology with compact support”, has some properties quite different from singular homology. In this thesis we study some generalizations and applications of this theory in triangulated categories of motives.The thesis is composed of two parts. In the first part we define Borel-Moore motivic homology in the triangulated categories of mixed motives defined by Cisinski and Déglise and study its various functorial properties, especially a functoriality similar to the refined Gysin morphism defined by Fulton. These results…

Quillen’s K-theory and G-theoryStructure de poidsMixed motives[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]Motivic homotopy theoryHomologie de Borel-MooreThéorie de l’homotopie motiviqueMotifs de ChowChow motives[MATH.MATH-KT] Mathematics [math]/K-Theory and Homology [math.KT]G-théorieFormalisme des six foncteursWeight structureSix functors formalismMotifs mixtesRefined Gysin morphismBorel-Moore homologyMorphisme de Gysin raffinéK-théorie de Quillen
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"Table 22" of "Freeze-out radii extracted from three-pion cumulants in pp, p-Pb and Pb-Pb collisions at the LHC"

2014

Exponential radii scaled down by sqrt(pi) and intercept parameters in PbPb collisions versus Nch at low KT3.

R lambdaInclusiveMathematics::Algebraic Geometry2760.0Physics::Instrumentation and DetectorsPB PB --> PI+ XNuclear ExperimentPB PB --> PI- XMathematics::Geometric TopologyComputer Science::Databases
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"Table 25" of "Freeze-out radii extracted from three-pion cumulants in pp, p-Pb and Pb-Pb collisions at the LHC"

2014

Exponential radii scaled down by sqrt(pi) and intercept parameters in PbPb collisions versus Nch at high KT3.

R lambdaInclusiveMathematics::Algebraic Geometry2760.0Physics::Instrumentation and DetectorsPB PB --> PI+ XNuclear ExperimentPB PB --> PI- XMathematics::Geometric TopologyComputer Science::Databases
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"Table 20" of "Freeze-out radii extracted from three-pion cumulants in pp, p-Pb and Pb-Pb collisions at the LHC"

2014

Exponential radii scaled down by sqrt(pi) and intercept parameters in pp collisions versus Nch at low KT3.

R lambdaInclusiveMathematics::Algebraic GeometryProton-Proton Scattering7000.0P P --> PI+ XNuclear ExperimentP P --> PI- XMathematics::Geometric TopologyComputer Science::Databases
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"Table 23" of "Freeze-out radii extracted from three-pion cumulants in pp, p-Pb and Pb-Pb collisions at the LHC"

2014

Exponential radii scaled down by sqrt(pi) and intercept parameters in pp collisions versus Nch at high KT3.

R lambdaInclusiveMathematics::Algebraic GeometryProton-Proton Scattering7000.0P P --> PI+ XNuclear ExperimentP P --> PI- XMathematics::Geometric TopologyComputer Science::Databases
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