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Rational Points on Varieties / Bjorn Poonen

By: Contributor(s): Material type: TextTextSeries: Graduate studies in mathematics, v. 186Publication details: rovidence, Rhode Island : American Mathematical Society, 2017Description: xv, 337 pages : illustrations ; 27 cmISBN:
  • 9781470454753
Subject(s): DDC classification:
  • 516.35 POO
Contents:
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.
Summary: 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.
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Holdings
Item type Current library Call number Status Barcode
Mathematics Departmental Library Mathematics Departmental Library SNU LIBRARY 516.35 POO (Browse shelf(Opens below)) Available M042
Total holds: 0

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.

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.

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