HomeAboutPeopleEventsResearchRTGGuest ProgrammeImpressum
From SFB1085 - Higher Invariants
Jump to navigationJump to search (Created page with "'''Chow-Lefschetz motives''' Summary: We develop Milne's theory of Lefschetz motives for general adequate equivalence relations and over a not necessarily algebraically closed...") |
No edit summary |
||
| Line 1: | Line 1: | ||
'''Chow-Lefschetz motives''' | '''Chow-Lefschetz motives.''' | ||
Summary: We develop Milne's theory of Lefschetz motives for general adequate equivalence relations and over a not necessarily algebraically closed base field. The corresponding categories turn out to enjoy all properties predicted by standard and less standard conjectures, in a stronger way: algebraic and numerical equivalences agree in this context. We also compute the Tannakian group associated to a Weil cohomology in a different and more conceptual way than Milne's case-by-case approach. | Summary: We develop Milne's theory of Lefschetz motives for general adequate equivalence relations and over a not necessarily algebraically closed base field. The corresponding categories turn out to enjoy all properties predicted by standard and less standard conjectures, in a stronger way: algebraic and numerical equivalences agree in this context. We also compute the Tannakian group associated to a Weil cohomology in a different and more conceptual way than Milne's case-by-case approach. | ||
Latest revision as of 09:33, 24 January 2024
Chow-Lefschetz motives. Summary: We develop Milne's theory of Lefschetz motives for general adequate equivalence relations and over a not necessarily algebraically closed base field. The corresponding categories turn out to enjoy all properties predicted by standard and less standard conjectures, in a stronger way: algebraic and numerical equivalences agree in this context. We also compute the Tannakian group associated to a Weil cohomology in a different and more conceptual way than Milne's case-by-case approach.
