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I like to ask questions here to learn things that are sometimes hard to learn from books.

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comment Moduli interpretation of Hecke operators on Shimura curves
@Keerthi: Thanks!
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asked Moduli interpretation of Hecke operators on Shimura curves
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accepted L-function of twist
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asked L-function of twist
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asked Twist in identification with singular cohomology
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asked Abel-Jacobi map isomorphism galois representations
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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