Results 11 to 20 of about 738 (156)

The Arithmetic of Fields [PDF]

, 2009
The workshop “The Arithmetic of Fields” focused on a series of problems concerning the interplay between number theory, arithmetic and algebraic geometry, Galois theory, and model theory, such as: the Galois theory of function fields / covers of varieties,

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Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri, Avni, Nir, Klopsch, Benjamin, Voll, Christopher   +3 more
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Quadratic forms and linear algebraic groups [PDF]

, 2009
Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David, Hartmann, Julia, Krashen, Daniel, Favi, Giordano   +3 more
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Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]

, 2005
Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
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On the Fontaine–Mazur Conjecture for Number Fields and an Analogue for Function Fields [PDF]

, 2000
The Fontaine–Mazur Conjecture for number fields predicts that infinite ℓ-adic analytic groups cannot occur as the Galois groups of unramified ℓ-extensions of number fields.
Holden, James F., Holden, Joshua Brandon
core   +1 more source

Multiplication polynomials and relative Manin-Mumford [PDF]

, 2015
After the introduction we prove in chapter 2 that the resultant of the standard multiplication polynomials $A_n,B_n$ of an elliptic curve in the form $y^2 = x^3+ax+b$ is
$(16\Delta)^{{n^2(n^2-1) \over 6}}$, where $\Delta=-(4a^3+27b^2)$ is the ...
Schmidt, Harry
core   +1 more source

Trace zero varieties in cryptography : optimal representation and index calculus [PDF]

, 2014
The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
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Algebraic divisibility sequences over function fields [PDF]

, 2011
In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields ...
Mahe, Valery, Ingram, Patrick, Valéry Mahé, Marco Streng, Streng, T.C., Patrick Ingram, Streng, Marco, Katherine E. Stange, Stange, K.E., Silverman, Joseph H., Mahé, V., Joseph H. Silverman, Silverman, J.H., Ingram, P., Stange, Katherine E.   +14 more
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Heights and multiplicative relations on algebraic varieties [PDF]

, 2007
Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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Arithmetic equivalence through Galois representations [PDF]

, 2016
"An important objective in Algebraic number theory is the study of number fields and their ring Of algebraic integers. One of the crucial arithmetic invariants associated with a number field K is its Dedekind zeta function?
Caro Reyes, Jerson Leonardo
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