On the determinant method and geometric invariant theory

DOI10.1007/978-3-030-57559-5_7zbMath1458.14058OpenAlexW3134477934MaRDI QIDQ2019722

Per Salberger

Publication date: 22 April 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-57559-5_7

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Rational points (14G05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Varieties over global fields (11G35)

Cites Work

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• A generalization of the Bombieri-Pila determinant method
• Stability of projective varieties
• Global moduli for surfaces of general type
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Scalar curvature and stability of toric varieties.
• Counting rational points on algebraic varieties
• The number of integral points on arcs and ovals
• Explicit uniform estimation of rational points I. Estimation of heights
• Explicit uniform estimation of rational points II. Hypersurface coverings
• Deformations of Algebraic Schemes
• Imaginary quadratic fields with class group exponent 5
• A note on a paper by R. Heath-Brown: The density of rational points on curves and surfaces
• On the density of rational and integral points on algebraic varieties

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