Secant varieties and successive minima

DOI10.1090/S1056-3911-03-00351-5zbMath1073.14037arXivmath/0110254OpenAlexW2087678172MaRDI QIDQ4820426

Christophe Soule

Publication date: 15 October 2004

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110254

zbMATH Keywords

line bundlearithmetic surface

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Congruences; primitive roots; residue systems (11A07) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (5)

The greatest common divisor of certain binomial coefficients ⋮ Asymptotic syzygies of secant varieties of curves ⋮ Singularities and syzygies of secant varieties of nonsingular projective curves ⋮ Unnamed Item ⋮ Convex equipartitions via equivariant obstruction theory

Cites Work

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• On Siegel's lemma
• Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space
• A vanishing theorem on arithmetic surfaces
• Positive line bundles on arithmetic surfaces
• INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
• Heights of Projective Varieties and Positive Green Forms
• Appendix to ``Secant varieties and successive minima" by C. Soulé: On linear subspaces contained in the secant varieties of a projective curve
• On the interval containing at least one prime number

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