Search results for " 14M12"

showing 2 items of 2 documents

On stability of logarithmic tangent sheaves. Symmetric and generic determinants

2021

We prove stability of logarithmic tangent sheaves of singular hypersurfaces D of the projective space with constraints on the dimension and degree of the singularities of D. As main application, we prove that determinants and symmetric determinants have stable logarithmic tangent sheaves and we describe an open dense piece of the associated moduli space.

Pure mathematicsLogarithmMSC 14J60 14J17 14M12 14C05General Mathematics[MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC]Commutative Algebra (math.AC)determinant01 natural sciencesStability (probability)Mathematics - Algebraic GeometryMathematics::Algebraic GeometryDimension (vector space)FOS: Mathematicsstability of sheavesProjective space0101 mathematicsAlgebraic Geometry (math.AG)MathematicsDegree (graph theory)010102 general mathematicsLogarithmic tangentTangentisolated singularitiesmoduli space of semistable sheavesMathematics - Commutative AlgebraModuli space010101 applied mathematicsGravitational singularityMathematics::Differential Geometry[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
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A remark on hyperplane sections of rational normal scrolls

2017

We present algebraic and geometric arguments that give a complete classification of the rational normal scrolls that are hyperplane section of a given rational normal scrolls.

TheoryofComputation_MISCELLANEOUSMathematics::Commutative AlgebraInformationSystems_INFORMATIONINTERFACESANDPRESENTATION(e.g.HCI)Determinantal idealsMSC: Primary 14M12 13C40Quantitative Biology::Tissues and Organs[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]Mathematics - Commutative AlgebraCommutative Algebra (math.AC)[ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]Mathematics - Algebraic GeometryComputingMethodologies_PATTERNRECOGNITIONMathematics::Algebraic GeometryComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComputingMethodologies_DOCUMENTANDTEXTPROCESSINGFOS: MathematicsRational normal scrolls[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]Nonlinear Sciences::Pattern Formation and SolitonsAlgebraic Geometry (math.AG)
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