Successive minima of line bundles
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DOI: 10.1016/j.aim.2020.107045
Abstract: We introduce and study the successive minima of line bundles on proper algebraic varieties. The first (resp. last) minima are the width (resp. Seshadri constant) of the line bundle at very general points. The volume… read more here.
Keywords: line; line bundles; successive minima; minima line ... See more keywords
Successive minima and asymptotic slopes in Arakelov geometry
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DOI: 10.1112/s0010437x21007156
Abstract: Let $X$ be a normal and geometrically integral projective variety over a global field $K$ and let $\bar {D}$ be an adelic ${\mathbb {R}}$-Cartier divisor on $X$. We prove a conjecture of Chen, showing that… read more here.
Keywords: geometry; asymptotic slopes; minima asymptotic; successive minima ... See more keywords