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location | ||
age | ||
visits | member for | 2 years, 8 months |
seen | Oct 24 '14 at 16:06 | |
stats | profile views | 1,146 |
I like to ask questions here to learn things that are sometimes hard to learn from books.
Oct 16 |
comment |
Moduli interpretation of Hecke operators on Shimura curves
@Keerthi: Thanks! |
Oct 13 |
asked | Moduli interpretation of Hecke operators on Shimura curves |
Sep 24 |
awarded | Autobiographer |
Sep 20 |
accepted | L-function of twist |
Sep 20 |
awarded | Popular Question |
Sep 20 |
asked | L-function of twist |
Aug 25 |
asked | Twist in identification with singular cohomology |
Aug 22 |
awarded | Yearling |
Aug 15 |
awarded | Popular Question |
Jul 9 |
asked | Bloch Kato Exponential as formal lie group exponential |
Jul 2 |
awarded | Inquisitive |
Jul 2 |
awarded | Curious |
Apr 25 |
asked | Notation in Shimura “Arithmetic of Automorphic …” |
Dec 5 |
asked | Abel-Jacobi map isomorphism galois representations |
Oct 28 |
comment |
Good factors of L-function
Great! Here's a precise reference: Serre's Abelian L-adic representations book defines the L-function via arithmetic frobenius (p.I-16) and specifies the euler factor as the characteristic polynomial evaluated at the appropriate number. Thanks! |
Oct 28 |
comment |
Good factors of L-function
This is pretty wierd. (1) Of course, fixed pts of arithmetic or geometric frobenius of vars/finite fields obviously agree, only their characteristic polynomials disagree. (2) The eigenvalues of geometric frobenius are algebraic integers, (hence not arithmetic frobenius). (3) Charpolys appearing in Weil conjectures (hence local zeta funcs) are of geometric frob. and I thought that the Hasse-Weil zeta function of vars/num fields are products of the local zeta functions (evaluated at various pts). If this last result is true, do we have a contradiction? |
Oct 27 |
asked | Good factors of L-function |
Oct 4 |
revised |
Learning a little Motivic Cohomology
added 134 characters in body |
Oct 4 |
revised |
Learning a little Motivic Cohomology
added 134 characters in body |
Oct 4 |
comment |
Learning a little Motivic Cohomology
Hi Andrew, thanks for your comments and the reference - I wasn't aware of it. I agree, Motivic cohomology has the ability to describe special values of $L$-functions of smooth projective varieties (and more generally) as predicted by Beilinson. |