Nash blowups of toric varieties in prime characteristic
Copyright policy )Nash blowups of toric varieties in prime characteristic
AbstractWe initiate the study of the resolution of singularities properties of Nash blowups over fields of prime characteristic. We prove that the iteration of normalized Nash blowups desingularizes normal toric surfaces. We also introduce a prime characteristic version of the logarithmic Jacobian ideal of a toric variety and prove that its blowup coincides with the Nash blowup of the variety. As a consequence, the Nash blowup of a, not necessarily normal, toric variety of arbitrary dimension in prime characteristic can be described combinatorially.
- University of Nebraska System United States
- Mathematics Research Center Mexico
- University of Nebraska-Lincoln United States
- Universidad de Morelia Mexico
Prime characteristic, Combinatorial Topology, Nash blowup, Monomial Ideals and Algebraic Properties, Resolution of singularities, Variety (cybernetics), Symbolic Computing in Algebraic Geometry and Cryptography, Mathematical analysis, 510, Mathematics - Algebraic Geometry, Algebraic Geometry and Moduli Theory, Prime (order theory), FOS: Mathematics, Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic Geometry (math.AG), Jacobian matrix and determinant, Algebra and Number Theory, prime characteristic, Toric variety, Applied Mathematics, Statistics, Pure mathematics, Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Gravitational singularity, Applied mathematics, 004, Positive characteristic ground fields in algebraic geometry, Dimension (graph theory), Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Geometry and Topology, Mathematics, toric varieties
Prime characteristic, Combinatorial Topology, Nash blowup, Monomial Ideals and Algebraic Properties, Resolution of singularities, Variety (cybernetics), Symbolic Computing in Algebraic Geometry and Cryptography, Mathematical analysis, 510, Mathematics - Algebraic Geometry, Algebraic Geometry and Moduli Theory, Prime (order theory), FOS: Mathematics, Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic Geometry (math.AG), Jacobian matrix and determinant, Algebra and Number Theory, prime characteristic, Toric variety, Applied Mathematics, Statistics, Pure mathematics, Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Gravitational singularity, Applied mathematics, 004, Positive characteristic ground fields in algebraic geometry, Dimension (graph theory), Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Geometry and Topology, Mathematics, toric varieties
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