Effective nonvanishing, effective global generation
Copyright policy )Effective nonvanishing, effective global generation
We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.
- Max Planck Society Germany
local Seshadri constant, jets, maps to Grassmannians, effective global generation, algebraic fundamental group, Mathematics - Algebraic Geometry, Effectivity, complexity and computational aspects of algebraic geometry, nef vector bundles, FOS: Mathematics, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and birational maps, Algebraic Geometry (math.AG), Vanishing theorems in algebraic geometry, effective nonvanishing
local Seshadri constant, jets, maps to Grassmannians, effective global generation, algebraic fundamental group, Mathematics - Algebraic Geometry, Effectivity, complexity and computational aspects of algebraic geometry, nef vector bundles, FOS: Mathematics, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and birational maps, Algebraic Geometry (math.AG), Vanishing theorems in algebraic geometry, effective nonvanishing
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