Brauer-Grothendieck Group
portes grátis
Brauer-Grothendieck Group
Skorobogatov, Alexei N.; Colliot-Thelene, Jean-Louis
Springer Nature Switzerland AG
07/2021
450
Dura
Inglês
9783030742478
15 a 20 dias
869
Descrição não disponível.
1 Galois Cohomology.- 2 Etale Cohomology.- 3 Brauer Groups of Schemes.- 4 Comparison of the Two Brauer Groups, II.- 5 Varieties Over a Field.- 6 Birational Invariance.- 7 Severi-Brauer Varieties and Hypersurfaces.- 8 Singular Schemes and Varieties.- 9 Varieties with a Group Action.- 10 Schemes Over Local Rings and Fields.- 11 Families of Varieties.- 12 Rationality in a Family.- 13 The Brauer-Manin Set and the Formal Lemma.- 14 Are Rational Points Dense in the Brauer-Manin Set?.- 15 The Brauer-Manin Obstruction for Zero-Cycles.- 16 Tate Conjecture, Abelian Varieties and K3 Surfaces.- Bibliography.- Index.
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Brauer group;Scheme;Brauer-Manin obstruction;Abelian variety;K3 surface;Kuga-Satake construction;Tate conjecture;Hasse principle;Rational variety;Residue map;Purity theorem
1 Galois Cohomology.- 2 Etale Cohomology.- 3 Brauer Groups of Schemes.- 4 Comparison of the Two Brauer Groups, II.- 5 Varieties Over a Field.- 6 Birational Invariance.- 7 Severi-Brauer Varieties and Hypersurfaces.- 8 Singular Schemes and Varieties.- 9 Varieties with a Group Action.- 10 Schemes Over Local Rings and Fields.- 11 Families of Varieties.- 12 Rationality in a Family.- 13 The Brauer-Manin Set and the Formal Lemma.- 14 Are Rational Points Dense in the Brauer-Manin Set?.- 15 The Brauer-Manin Obstruction for Zero-Cycles.- 16 Tate Conjecture, Abelian Varieties and K3 Surfaces.- Bibliography.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.