Ciliberto-Miranda degenerations of \mathbbCP² blown up in 10 points

2009/07/25 by Thomas Eckl, Eckl, Thomas
Mathematics · Physics and Astronomy · #14C20 #14J26 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0907.4425

openalex publication_date 2009/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We simplify Ciliberto's and Miranda's method(arXiv:0812.0032) to construct degenerations of \mathbbCP² blown up in several points yielding lower bounds of the corresponding multi-point Seshadri constants. In particular we exploit an asymptotic result of the author (arXiv:math/0508561) which allows to check the non-specialty of much fewer linear systems on \mathbbCP². We obtain the lower bound 117/370 for the 10-point Seshadri constant on \mathbbCP².

Citations

• Homogeneous interpolation on ten points
• Seshadri constants via Lelong numbers

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