Semi-stability and reduction mod p
نویسندگان
چکیده
منابع مشابه
Hilbert-kunz Multiplicity and Reduction Mod P
In this paper, we study the behaviour of Hilbert-Kunz multiplicities (abbreviated henceforth to HK multiplicities) of the reductions to positive characteristics of an irreducible projective curve in characteristic 0. For instance, consider the following question. Let f be a nonzero irreducible homogeneous element in the polynomial ring Z[X1, X2, . . . , Xr], and for any prime number p ∈ Z, let ...
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Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p-local H-spaces of rank l < p−1. The first construction goes through when l = p− 1 and we show the second does as well. However, the space produced need not be an H-space. We give a criterion for when an H-space is obtained. In the special case of rank 2 mod-3 H-spaces, we also give...
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Let d > 0 be a squarefree integer and a be an integer, which is not 1 nor a square. Let P(a,d)(x) be the number of primes p x such that p ⌘ 1 mod d and a(p 1)/d ⌘ 1 mod p. Numerical data indicate that the function as approximately equal to a constant multiple of ⇡(x)/(d'(d)) for su ciently large x, where ⇡(x) is the number of primes up to x and '(d) is the Euler-' function. The involved const...
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ژورنال
عنوان ژورنال: Topology
سال: 1998
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(97)00038-4