Bound on Seshadri constants on $\mathbb{P}^1\times\mathbb{P}^1$
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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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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Abstract. In this paper we compute the Seshadri constants at the general point on many smooth polarized toric surfaces. We consider the case when the degree of jet separation is small or the core of the associated polygon is a line segment. Our main result is that in this case the Seshadri constant at the general point can often be determined in terms of easily computable invariants of the surf...
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Let Xg = C (2) g be the second symmetric product of a very general curve of genus g. We reduce the problem of describing the ample cone on Xg to a problem involving the Seshadri constant of a point on Xg−1. Using this we recover a result of Ciliberto-Kouvidakis that reduces finding the ample cone of Xg to the Nagata conjecture when g ≥ 9. We also give new bounds on the the ample cone of Xg when...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2009
ISSN: 1370-1444
DOI: 10.36045/bbms/1260369401