SMALL ZEROS OF QUADRATIC FORMS OVER $\overline{\mathbb{Q}}$

DOI10.1142/S1793042108001481zbMath1162.11021arXivmath/0512132MaRDI QIDQ3602992

Lenny Fukshansky

Publication date: 12 February 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512132

zbMATH Keywords

heightquadratic formalgebraic completionisotropic subspace

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Quadratic forms over global rings and fields (11E12) Heights (11G50) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (3)

Height bounds on zeros of quadratic forms over \(\overline{\mathbb Q}\) ⋮ Small zeros of quadratic forms outside a union of varieties ⋮ Espaces adéliques quadratiques

Cites Work

• Unnamed Item
• On Siegel's lemma
• Kleine Nullstellen homogener quadratischer Gleichungen. (Small zeros of homogeneous quadratic equations)
• Matrix generators for the orthogonal groups

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