By M. Rapoport, N. Schappacher, P. Schneider
Beilinsons Conjectures on distinct Values of L-Functions bargains with Alexander Beilinsons conjectures on distinctive values of L-functions. themes coated variety from Pierre Delignes conjecture on serious values of L-functions to the Deligne-Beilinson cohomology, besides the Beilinson conjecture for algebraic quantity fields and Riemann-Roch theorem. Beilinsons regulators also are in comparison with these of Émile Borel.
Comprised of 10 chapters, this quantity starts with an advent to the Beilinson conjectures and the speculation of Chern sessions from better k-theory. The "simplest" instance of an L-function is gifted, the Riemann zeta functionality. The dialogue then turns to Delignes conjecture on serious values of L-functions and its connection to Beilinsons model. next chapters concentrate on the Deligne-Beilinson cohomology; ?-rings and Adams operations in algebraic k-theory; Beilinson conjectures for elliptic curves with advanced multiplication; and Beilinsons theorem on modular curves. The publication concludes by means of reviewing the definition and houses of Deligne homology, in addition to Hodge-D-conjecture.
This monograph will be of substantial curiosity to researchers and graduate scholars who are looking to achieve a greater realizing of Beilinsons conjectures on distinct values of L-functions.
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