Abstract We generalize Sczech's Eisenstein cocycle for G L ( n ) over totally real extensions of Q to finite extensions of imaginary quadratic fields. By evaluating the cocycle on… Click to show full abstract
Abstract We generalize Sczech's Eisenstein cocycle for G L ( n ) over totally real extensions of Q to finite extensions of imaginary quadratic fields. By evaluating the cocycle on certain cycles, we parametrize complex values of Hecke L-functions previously considered by Colmez, giving a cohomological interpretation of his algebraicity result on special values of the L-functions.
Keywords:
values functions;
cocycles imaginary;
imaginary quadratic;
eisenstein cocycles;
special values;
quadratic fields
Journal Title: Journal of Number Theory
Year Published: 2019
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Journal Title: Journal of Number Theory
Year Published: 2019
Link to full text (if available)
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recommendations!