cam a22 4 4500 508029872 CHVBK 20201023212457.0 180227s2017 xxu b||| 001 0 eng| 2017022803 GBB7-L5780 bnb 018608424 Uk 978-1-4704-3773-2 1-4704-3773-2 (IDSBB)006760148 (NEBIS)011133403 (RERO)R008769194 (OCoLC)987437380 DLC ger DLC OCLCO OCLCF YDX OCLCQ SzZuIDS BS/BE A216 rda QA564 .P65 2017 s1ma rero 516.35 23 14G05 11G35 msc SK 240 rvk SK 370 rvk Poonen Bjorn (DE-588)115203264X Verfasser aut Rational points on varieties Bjorn Poonen Providence, Rhode Island American Mathematical Society [2017] 337 Seiten Graduate studies in mathematics (IDSBB)000963481 vol. 186 186 285030833 Includes bibliographical references and index 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 Algebraic varieties fast Rational points (Geometry) fast Algebraic geometry Arithmetic problems. Diophantine geometry Rational points msc Number theory Arithmetic algebraic geometry (Diophantine geometry) Varieties over global fields msc Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Algebraische Varietät (DE-588)4581715-7 gnd Rationaler Punkt (DE-588)4177004-3 gnd Rational points (Geometry) ALGEBRAISCHE GRUPPEN (ALGEBRAISCHE GEOMETRIE) ger (ETHUDK)000012821 ethudk ALGEBRAISCHE KURVEN (ALGEBRAISCHE GEOMETRIE) ger (ETHUDK)000012837 ethudk ALGEBRAISCHE VARIETÄTEN + FASERUNGEN (ALGEBRAISCHE GEOMETRIE) ger (ETHUDK)000012804 ethudk BRAUERSCHE GRUPPEN (ALGEBRAISCHE GEOMETRIE) ger (ETHUDK)000012763 ethudk HOMOLOGIEGRUPPEN + KOHOMOLOGIEGRUPPEN (ALGEBRAISCHE TOPOLOGIE) ger (ETHUDK)000013046 ethudk Algebraic varieties Variétés algébriques (RERO)A021002936 rero Points rationnels (géométrie) (RERO)A021077311 rero u ALGEBRAISCHE VARIETÄTEN + FASERUNGEN (ALGEBRAISCHE GEOMETRIE) ger 512.72 nebis E1 u ALGEBRAISCHE GRUPPEN (ALGEBRAISCHE GEOMETRIE) ger 512.74 nebis E1 u BRAUERSCHE GRUPPEN (ALGEBRAISCHE GEOMETRIE) ger 511.236.4 nebis E1 u ALGEBRAISCHE KURVEN (ALGEBRAISCHE GEOMETRIE) ger 512.772 nebis E1 u HOMOLOGIEGRUPPEN + KOHOMOLOGIEGRUPPEN (ALGEBRAISCHE TOPOLOGIE) ger 515.142.21 nebis E1 u VARIÉTÉS ALGÉBRIQUES + FIBRATIONS (GÉOMÉTRIE ALGÉBRIQUE) fre 512.72 nebis E1 u ALGEBRAIC VARIETIES + FIBRATIONS (ALGEBRAIC GEOMETRY) eng 512.72 nebis E1 u GROUPES ALGÉBRIQUES (GÉOMÉTRIE ALGÉBRIQUE) fre 512.74 nebis E1 u ALGEBRAIC GROUPS (ALGEBRAIC GEOMETRY) eng 512.74 nebis E1 u BRAUER GROUPS (ALGEBRAIC GEOMETRY) eng 511.236.4 nebis E1 u GROUPES DE BRAUER (GÉOMÉTRIE ALGÉBRIQUE) fre 511.236.4 nebis E1 u COURBES ALGÉBRIQUES (GÉOMÉTRIE ALGÉBRIQUE) fre 512.772 nebis E1 u ALGEBRAIC CURVES (ALGEBRAIC GEOMETRY) eng 512.772 nebis E1 u GROUPES D'HOMOLOGIE + GROUPES DE COHOMOLOGIE (TOPOLOGIE ALGÉBRIQUE) fre 515.142.21 nebis E1 u HOMOLOGY GROUPS + COHOMOLOGY GROUPS (ALGEBRAIC TOPOLOGY) eng 515.142.21 nebis E1 rero ams 14 rero ams 10 Graduate studies in mathematics 186 (RERO)001752298 BK020000 XK020000 XK020000 Metadata rights reserved rero E64-20180426 nebis EN E02120 E02-20180625 E30MATH E30-20180518 122 E01-20180226 E64C E64-20180426 NEBIS E30 E30 E30BI FQJ 204 IDSBB A216 A216 MAG MAT 12 PO POONEN NELA2161802 IDSBB 100 1- Poonen Bjorn (DE-588)115203264X Verfasser aut IDSBB 490 0- Graduate studies in mathematics (IDSBB)000963481 vol. 186 186 285030833 NEBIS 100 1- Poonen Bjorn (DE-588)115203264X Verfasser aut NEBIS 490 0- Graduate studies in mathematics 186 186 (NEBIS)000924590 285030833 RERO 100 1- Poonen Bjorn (IDREF)075873532 cre RERO 490 1- Graduate studies in mathematics 186 RERO 830 -- Graduate studies in mathematics 186 (RERO)001752298 NEBIS EAD50 https://opac.nebis.ch/objects/pdf03/e01_978-1-4704-3773-2_01.pdf Titelblatt und Inhaltsverzeichnis VIEW pdf