T. S. Seshadri (1932–2015)
نویسندگان
چکیده
منابع مشابه
Remarks on Seshadri Constants
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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متن کاملBounds for Seshadri Constants
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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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...
متن کاملSeshadri constants on algebraic surfaces
0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Seshadri constants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2. Very ample line bundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3. Bounds on global Seshadri constants . . . . . . . . . . . . . . . . . . . . . . . . 9 4. The degree of sub-maximal cu...
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ژورنال
عنوان ژورنال: Journal of the Geological Society of India
سال: 2015
ISSN: 0016-7622,0974-6889
DOI: 10.1007/s12594-015-0369-2