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Rational Points on Varieties.

9781470437732

Rational Points on Varieties

Bjorn Poonen

American Mathematical Society

2017

337 pages

$83.00

Hardcover

Graduate Studies in Mathematics; Volume 186

QA564

Poonen introduces graduate mathematics students to the vast field of rational points by surveying many topics briefly and pointing to the literature for readers who want to learn more about any particular one. Prerequisites are algebraic geometry, algebraic number theory, and some group cohomology. He provides about half again as much material as will fit in one semester, he says. His topics include varieties over arbitrary fields, faithfully flat descent, algebraic groups, cohomological obstructions to rational points, and surfaces. ([umlaut] Ringgold, Inc., Portland, OR)

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Title Annotation:Bjorn Poonen
Publication:ProtoView
Article Type:Book review
Date:Jan 1, 2018
Words:107
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