منابع مشابه
E∞-ALGEBRAS AND p-ADIC HOMOTOPY THEORY
Let Fp denote the field with p elements and F̄p its algebraic closure. We show that the singular cochain functor with coefficients in F̄p induces a contravariant equivalence between the homotopy category of connected pcomplete nilpotent spaces of finite p-type and a full subcategory of the homotopy category of E∞ F̄p-algebras. Draft: January 26, 1998, 17:28
متن کاملDerived Algebraic Geometry XIII: Rational and p-adic Homotopy Theory
1 Rational Homotopy Theory 4 1.1 Cohomological Eilenberg-Moore Spectral Sequences . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 k-Rational Homotopy Types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Rational Homotopy Theory and E∞-Algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.4 Differential Graded Lie Algebras . . . . . . . . . . ...
متن کاملp-ADIC ARAKELOV THEORY
We introduce the p-adic analogue of Arakelov intersection theory on arithmetic surfaces. The intersection pairing in an extension of the p-adic height pairing for divisors of degree 0 in the form described by Coleman and Gross. It also uses Coleman integration and is related to work of Colmez on p-adic Green functions. We introduce the p-adic version of a metrized line bundle and define the met...
متن کاملP-adic Nori Theory
Given a fixed integer n, we consider closed subgroups G of GLn(Zp), where p is sufficiently large in terms of n. Assuming that the Zariski closure of G in GLn has no toric part, we give a condition on the (mod p) reduction of G which guarantees that G is of bounded index in GLn(Zp) ∩ G(Qp). In [No], Nori considered a special class of subgroups of GLn(Fp), namely groups which are generated by el...
متن کاملp-Adic Fourier Theory
In this paper we generalize work of Amice and Lazard from the early sixties. Amice determined the dual of the space of locally Qp-analytic functions on Zp and showed that it is isomorphic to the ring of rigid functions on the open unit disk over Cp. Lazard showed that this ring has a divisor theory and that the classes of closed, finitely generated, and principal ideals in this ring coincide. W...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1993
ISSN: 0166-8641
DOI: 10.1016/0166-8641(93)90108-p