Search results for "Function field of an algebraic variety"

showing 9 items of 9 documents

Smooth structures on algebraic surfaces with cyclic fundamental group

1988

Abelian varietyAlgebraIntersection theorymedicine.medical_specialtyFundamental groupFunction field of an algebraic varietyGeneral MathematicsAlgebraic surfacemedicineSmooth structureAlgebraic geometry and analytic geometryMathematicsInventiones Mathematicae
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Asymptotically good codes from generalized algebraic-geometry codes

2005

We consider generalized algebraic-geometry codes, based on places of the same degree of a fixed algebraic function field over a finite field. In this note, using a method similar to the Justesen's one, we construct a family of such codes which is asymptotically good.

Algebraic function fieldBlock codeDiscrete mathematicsFunction field of an algebraic varietyApplied MathematicsReal algebraic geometryAlgebraic extensionAlgebraic functionLinear codeExpander codeComputer Science ApplicationsMathematics
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ON AUTOMORPHISMS OF GENERALIZED ALGEBRAIC-GEOMETRY CODES.

2007

Abstract We consider a class of generalized algebraic-geometry codes based on places of the same degree of a fixed algebraic function field over a finite field F / F q . We study automorphisms of such codes which are associated with automorphisms of F / F q .

Algebraic function fieldDiscrete mathematicsAlgebraic cycleFinite fieldFunction field of an algebraic varietyAlgebra and Number TheoryAutomorphisms of the symmetric and alternating groupsAlgebraic extensionAlgebraic geometryAutomorphismMathematics
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New lower bounds for the minimum distance of generalized algebraic geometry codes

2013

Abstract In this paper, we give a new lower bound for generalized algebraic geometry codes with which we are able to construct some new linear codes having better parameters compared with the ones known in the literature. Moreover, we give a relationship between a family of generalized algebraic geometry codes and algebraic geometry codes. Finally, we propose a decoding algorithm for such a family.

Discrete mathematicsAlgebraic cycleBlock codeAlgebraic function field generalized algebraic geometry codes minimum distanceAlgebra and Number TheoryDerived algebraic geometryFunction field of an algebraic varietyAlgebraic surfaceReal algebraic geometryDimension of an algebraic varietySettore MAT/03 - GeometriaLinear codeMathematicsJournal of Pure and Applied Algebra
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On the classification of algebraic function fields of class number three

2012

AbstractLet F be an algebraic function field of one variable having a finite field Fq with q>2 elements as its field of constants. We determine all such fields for which the class number is three. More precisely, we show that, up to Fq-isomorphism, there are only 8 of such function fields. For q=2 the problem has been solved under the additional hypothesis that the function field is quadratic.

Discrete mathematicsAlgebraic function fieldFunction field of an algebraic varietyField (mathematics)Algebraic number fieldAlgebraic function fieldTheoretical Computer ScienceCombinatoricsDiscriminant of an algebraic number fieldField extensionDiscrete Mathematics and CombinatoricsQuadratic fieldAlgebraic functionSettore MAT/03 - GeometriaMathematicsClass numberDiscrete Mathematics
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An exact and efficient approach for computing a cell in an arrangement of quadrics

2006

AbstractWe present an approach for the exact and efficient computation of a cell in an arrangement of quadric surfaces. All calculations are based on exact rational algebraic methods and provide the correct mathematical results in all, even degenerate, cases. By projection, the spatial problem is reduced to the one of computing planar arrangements of algebraic curves. We succeed in locating all event points in these arrangements, including tangential intersections and singular points. By introducing an additional curve, which we call the Jacobi curve, we are able to find non-singular tangential intersections. We show that the coordinates of the singular points in our special projected plana…

Discrete mathematicsPure mathematicsArrangementsControl and OptimizationFunction field of an algebraic varietyAlgebraic curvesMathematicsofComputing_NUMERICALANALYSISComputational geometryComputer Science ApplicationsComputational MathematicsComputational Theory and MathematicsJacobian curveAlgebraic surfaceComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONReal algebraic geometryAlgebraic surfacesExact algebraic computationAlgebraic functionGeometry and TopologyAlgebraic curveAlgebraic numberRobustnessMathematicsSingular point of an algebraic varietyComputational Geometry
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ON THE DEFORMATION QUANTIZATION OF AFFINE ALGEBRAIC VARIETIES

2004

We compute an explicit algebraic deformation quantization for an affine Poisson variety described by an ideal in a polynomial ring, and inheriting its Poisson structure from the ambient space.

High Energy Physics - TheoryFunction field of an algebraic varietyMathematics::Commutative AlgebraGeneral MathematicsFOS: Physical sciencesFísicaAlgebraic varietyDimension of an algebraic varietyAlgebraic cycleAlgebraGröbner basisHigh Energy Physics - Theory (hep-th)DEFORMATION QUANTIZATIONMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Affine transformationAffine varietyMathematicsSingular point of an algebraic varietyInternational Journal of Mathematics
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Algebraic time-reversal operation

1999

International audience; We analyze the implementation of the time-reversal (TR) transformation in the algebraic approach to tetrahedral local molecules through the chain of groups U(5) U(4) K(4) = A(4) ^ S(4) S(4) Td. We determine the general form of the TR operation using a purely algebraic realization, based exclusively on the requirement that the irreducible representations must not be changed under the time inversion symmetry. As a result we can determine the TR behavior of purely algebraic operators.

Pure mathematicsFunction field of an algebraic variety[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]010304 chemical physics03.65.Fd Algebraic methods - 31.15.Hz Group theoryAlgebraic extensionDimension of an algebraic variety010402 general chemistry01 natural sciencesAtomic and Molecular Physics and Optics0104 chemical sciencesAlgebraic cycle[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Algebraic methodsQuantum mechanics0103 physical sciencesAlgebraic surfaceReal algebraic geometryAlgebraic functionGroup theoryDifferential algebraic geometryMathematicsThe European Physical Journal D
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Rings with algebraic n-engel elements

1994

(1994). Rings with algebraic n-engel elements. Communications in Algebra: Vol. 22, No. 5, pp. 1685-1701.

Pure mathematicsRing theoryAlgebra and Number TheoryDerived algebraic geometryFunction field of an algebraic varietyScheme (mathematics)Local ringVon Neumann regular ringCommutative algebraAlgebraic numberANÉIS E ÁLGEBRAS ASSOCIATIVOSMathematics
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