TY  - BOOK
AU  - Poonen, Bjorn
AU  - Poonen, Bjorn
TI  - Rational Points on Varieties
T2  - Graduate studies in mathematics, v. 186
SN  - 9781470454753
U1  - 516.35 POO 
PY  - 2017///
CY  - rovidence, Rhode Island 
PB  - : American Mathematical Society
KW  - Mathematics
KW  - Geometry
KW  - Rational points Geometry
KW  - Algebraic varieties
KW  - Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Rational points
KW  - Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over global fields
N1  - 	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
N2  - This 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
ER  -