A note onL-packets and abelian varieties over local fields
نویسندگان
چکیده
منابع مشابه
Abelian varieties over finite fields
A. Weil proved that the geometric Frobenius π = Fa of an abelian variety over a finite field with q = pa elements has absolute value √ q for every embedding. T. Honda and J. Tate showed that A 7→ πA gives a bijection between the set of isogeny classes of simple abelian varieties over Fq and the set of conjugacy classes of q-Weil numbers. Higher-dimensional varieties over finite fields, Summer s...
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Almost all of the general facts about abelian varieties which we use without comment or refer to as "well known" are due to WEIL, and the references for them are [12] and [3]. Let k be a field, k its algebraic closure, and A an abelian variety defined over k, of dimension g. For each integer m > 1, let A m denote the group of elements aeA(k) such that ma=O. Let l be a prime number different fro...
متن کاملHomomorphisms of Abelian Varieties over Finite Fields
The aim of this note is to give a proof of Tate’s theorems on homomorphisms of abelian varieties over finite fields [22, 8], using ideas of [26, 27]. We give a unified treatment for both l 6= p and l = p cases. In fact, we prove a slightly stronger version of those theorems with “finite coefficients”. I am grateful to Frans Oort and Bill Waterhouse for useful discussions. My special thanks go t...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2015
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2015.273.395