Arithmetic occult period maps
نویسندگان
چکیده
منابع مشابه
Algebraic and Arithmetic Properties of Period Maps
We survey recent developments in Hodge theory which are closely tied to families of CY varieties, including Mumford-Tate groups and boundary components, as well as limits of normal functions and generalized Abel-Jacobi maps. While many of the techniques are representation-theoretic rather than motivic, emphasis is placed throughout on the (known and conjectural) arithmetic properties accruing t...
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Abstract. Let ψ1, · · · , ψk be periodic maps from Z to a field of characteristic p (where p is zero or a prime). Assume that positive integers n1, · · · , nk not divisible by p are their periods respectively. We show that ψ1 + · · · + ψk = 0 if ψ1(x) + · · · + ψk(x) = 0 for |S| consecutive integers x where S = ⋃ k s=1 {0, 1/ns, · · · , (ns − 1)/ns}. We also present some new results on finite s...
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The subject of this article belongs to the general question Under which condition(s) suitably normalized transcendental functions take algebraic values at algebraic arguments? Already the classical examples of Weierstrass’ result concerning the exponential function and Theodor Schneider’s result about the elliptic modular function show that arguments and values in these cases are of particular ...
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All spaces are assumed to be separable metric and all mappings are assumed to be continuous. Definition 1. Suppose that f : X → X is a map from X to itself. An open subset B of X is called a color of (X, f) if f(B) ∩ B = ∅ or, equivalently, f−1(B) ∩ B = ∅. A coloring of (X, f) is a finite cover B of X consisting of colors. The minimal cardinality of a coloring B is called the color number col(X...
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ژورنال
عنوان ژورنال: Algebraic Geometry
سال: 2020
ISSN: 2214-2584
DOI: 10.14231/ag-2020-021