000			01638nam a22002657a 4500
999			_c55773 _d55773
005			20191021142004.0
008			191021b ||||| |||| 00| 0 eng d
020			_a9781470454753
082			_a516.35 POO
100			_aPoonen, Bjorn
245			_aRational Points on Varieties _c/ Bjorn Poonen
260			_arovidence, Rhode Island _b: American Mathematical Society, _c2017
300			_axv, 337 pages _b: illustrations _c; 27 cm.
490			_aGraduate studies in mathematics, v. 186.
505			_a Preface -- Fields -- Varieties over arbitrary fields -- Properties of morphisms -- Faithfully flat descent -- Algebraic groups -- Êtale and fppf cohomology -- The Weil conjectures -- Cohomological obstructions to rational points -- Surfaces -- Appendix A. Universes -- Appendix B. Other kinds of fields -- Appendix C. Properties under base extension.
520			_aThis book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one.
650			_aMathematics
650			_aGeometry
650			_aRational points Geometry
650			_aAlgebraic varieties.
650			_aAlgebraic geometry -- Arithmetic problems. Diophantine geometry -- Rational points.
650			_aNumber theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over global fields.
700			_aPoonen, Bjorn
942			_cMDL