## Beilinson's conjectures on special values of L-functions |

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### Contents

Introduction to the Beilinson Conjectures | 1 |

2 Deligne cohomology | 2 |

3 Absolute cohomology | 11 |

Copyright | |

17 other sections not shown

### Other editions - View all

Beilinson's Conjectures on Special Values of L-Functions M. Rapoport,P. Schneider,N. Schappacher Limited preview - 2014 |

### Common terms and phrases

A-Hodge abelian absolute cohomology Adams operations algebraic K-theory arrows Artin motive Beilinson Beilinson conjecture Beilinson's conjecture BGL(A Chern character Chern classes closed immersion closed subscheme co-simplicial algebra codimension coefficients cohomology groups commutative diagram compatible complex conjugation complex of sheaves consider Corollary corresponding cup product decomposition defined definition Deligne cohomology denote derived category differential Dirichlet divisor element elliptic curves exact sequence fact finite formula functor given Gysin Gysin sequence hand side hence Hodge filtration Hodge structure homology homomorphism homotopy if-theory induces injective integer involution IR(n isomorphism KX(M KY(X KZ(Y L-functions L-series Lecture Notes Lemma long exact module morphism f multiplication natural map number field obtain open immersion Proof proper morphism Proposition prove quasi-isomorphism reduced small regulator map representation resp Riemann-Roch theorem ring sheaf simplicial scheme smooth schemes space special A-ring Springer surjective tensor theory topology vector bundle X-ring zero