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An inequality between multipoint Seshadri constants

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Abstract

Let X be a projective variety of dimension n and L be a nef divisor on X. Denote by \({\epsilon_d(r; X, L)}\) the d-dimensional Seshadri constant of r very general points in X. We prove that

$$\epsilon_d(rs;X,L)\geq \epsilon_d(r;X,L)\cdot \epsilon_d(s;\mathbb {P}^n,\mathcal {O}_{\mathbb {P}^n}(1)) \quad \text{for}\,r, s\geq 1.$$

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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Aubònoma de Barcelona, Bellaterra (Barcelona), 08193, Spain

    J. Roé

  2. DPMMS, Center for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA, UK

    J. Ross

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  1. J. Roé
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  2. J. Ross
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Correspondence to J. Ross.

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Roé, J., Ross, J. An inequality between multipoint Seshadri constants. Geom Dedicata 140, 175–181 (2009). https://doi.org/10.1007/s10711-008-9315-4

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  • DOI: https://doi.org/10.1007/s10711-008-9315-4

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