13 research outputs found
Further counterexamples to a conjecture of Beilinson
Get PDFWe give stronger counterexamples to a conjecture of Beilinson
Terrestrial plant productivity and soil moisture constraints
Get PDFDolman, A.J. [Promotor]Jeu, R.M.H. de [Copromotor]Werf-, G.R. van der [Copromotor
Li(p)-service? An algorithm for computing p-adic polylogarithms
Get PDFWe describe an algorithm for computing Coleman's p-adic poly-logarithms up to a given precision. © 2007 American Mathematical Society
On K_2 of certain families of curves
No full textWe construct families of smooth, proper, algebraic curves in characteristic 0, of arbitrary genus g, together with g elements in the kernel of the tame symbol. We show that those elements are in general independent by a limit calculation of the regulator. Working over a number field, we show that in some of those families the elements are integral. We determine when those curves are hyperelliptic, finding, in particular, that over any number field we have nonhyperelliptic curves of all composite genera g with g independent integral elements in the kernel of the tame symbol. We also give families of elliptic curves over real quadratic fields with two independent integral elements
Beilinson's Hodge conjecture for smooth varieties
No full textLet U/C be a smooth quasi-projective variety of dimension d, C
The syntomic regulator for K_4 of curves
No full textLet C be a curve defined over a complete discrete valuation subfield of Cp. Assuming that C has good reduction over the residue field, we compute the syntomic regulator on a certain part of
Étale cohomology, cofinite generation, and -adic -functions
Get PDFLet p be a prime number. We study certain étale cohomology groups with coefficients associated to a p-adic Artin representation of the Galois group of a number field k. These coefficients are equipped with a modified Tate twist involving a p-adic index. The groups are cofinitely generated, and we determine the additive Euler characteristic. If k is totally real and the representation is even, we study the relation between the behaviour or the value of the p-adic L-function at the point e in its domain, and the cohomology groups with p-adic twist 1-e. In certain cases this gives short proofs of a conjecture by Coates and Lichtenbaum, and the equivariant Tamagawa number conjecture for classical L-functions. For p=2 our results involving p-adic L-functions depend on a conjecture in Iwasawa theory
Motives and Algebraic Cycles: A Celebration in Honour of Spencer J. Bloch (Proceedings of the conference ``Motives and Algebraic Cycles, a Conference Dedicated to the Mathematical Heritage of Spencer J. Bloch'')
No full textMotives and Algebraic Cycles: A Celebration in Honour of Spencer J. Bloch (Proceedings of the conference ``Motives and Algebraic Cycles, a Conference Dedicated to the Mathematical Heritage of Spencer J. Bloch'')
No full textOn special elements in higher algebraic K-theory and the Lichtenbaum–Gross Conjecture
No full textAbstractWe conjecture the existence of special elements in odd degree higher algebraic K-groups of number fields that are related in a precise way to the values at strictly negative integers of the derivatives of Artin L-functions of finite dimensional irreducible complex representations. We prove this conjecture for an important family of examples and also provide other evidence (both theoretical and numerical) in its support
