A relation between one-point and multi-point Seshadri constants
نویسندگان
چکیده
منابع مشابه
An Inequality between Multipoint Seshadri Constants
Let X be a projective variety of dimension n and L be a nef divisor on X. Denote by ǫd(r;X,L) the d-dimensional Seshadri constant of r very general points in X. We prove that ǫd(rs;X,L) ≥ ǫd(r;X,L) · ǫd(s;P n,OPn (1)) for r, s ≥ 1.
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Given a smooth complex projective variety X and an ample line bundle L on X. Fix a point x ∈ X. We consider the question, are there conditions which guarantee the maxima of the Seshadri constant of L at x, i.e ε(L, x) = n √ L? We give a partial answer for surfaces and find examples where the answer to our question is negative. If (X,Θ) is a general principal polarized abelian surface, then ε(Θ,...
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Introduction In this paper we present an alternative approach to the boundedness of Seshadri constants of nef and big line bundles at a general point of a complex–projective variety. Seshadri constants ε(L, x), which have been introduced by Demailly [De92], measure the local positivity of a nef line bundle L at a point x ∈ X of a complex–projective variety X, and can be defined as ε(L, x) := in...
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متن کاملSeshadri Constants via Lelong Numbers
One of Demailly’s characterizations of Seshadri constants on ample line bundles works with Lelong numbers of certain positive singular hermitian metrics. In this note sections of multiples of the line bundle are used to produce such metrics and then to deduce another formula for Seshadri constants. It is applied to compute Seshadri constants on blown up products of curves, to disprove a conject...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2003.10.009