2 00 7 Homological algebra over belian categories and cohomology of F 1 - schemes Anton Deitmar
نویسنده
چکیده
1 Belian categories 2 1.1 Complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Pull-backs and push-outs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Ascent functors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.4 Snake Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.5 Delta functors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.6 Derived functors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.7 Ext . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
منابع مشابه
Homological algebra over belian categories and cohomology of F1-schemes
1 Belian categories 3 1.1 Complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 Diagram chase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 Snake Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.4 Delta functors . . . . . . . . . . . . . . . . . . . . ....
متن کاملN ov 2 00 5 Cohomology of F 1 - schemes Anton
1 Belian categories 3 1.1 Complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Diagram chase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Snake Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.4 Delta functors . . . . . . . . . . . . . . . . . . . . ....
متن کاملCohomology of F1-schemes
1 Belian categories 3 1.1 Complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Diagram chase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Snake Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.4 Delta functors . . . . . . . . . . . . . . . . . . . . ....
متن کامل2 3 A pr 2 00 4 Schemes over F 1 Anton Deitmar
The approach of Kurokawa, Ochiai, and Wakayama to ‘absolute mathematics’ is used to develop a theory of schemes over F1. It turns out that the functor GLn is represented by a scheme and that its value on F1 gives the Weyl group.
متن کامل2 1 A pr 2 00 4 Schemes over F 1 Anton
The approach of Kurokawa, Ochiai, and Wakayama to ‘absolute mathematics’ is used to develop a theory of schemes over F1. It turns out that the functor GLn is represented by a scheme and that its value on F1 gives the Weyl group.
متن کامل