1996/01/18 by Oliver Küchle, Küchle, Oliver, Andreas Steffens +1
Mathematics · #14C20 #Algebraic Geometry (math.AG) #Analytic and geometric function theory #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.alg-geom/9601018
openalex publication_date 1996/01/18 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/30
In the paper we present an alternative approach to the boundedness of Seshadri constants (which measure the local positivity) of nef and big line bundles at a general point of a complex--projective variety. Our approach is based on the construction of divisors in certain adjoint linear systems having isolated singularities of high order. A variant of the method gives bounds for Seshadri constants valid at arbitrary points of a smooth variety; these bounds, however, depend on the line bundle and the positivity of the tangent bundle of the variety in question.