منابع مشابه
ON Dp-EXTENSIONS IN CHARACTERISTIC p
We study the relationship between generic polynomials and generic extensions over a finite ground field, using dihedral extensions as an example.
متن کاملMusings on microlocal analysis in characteristic p
This sketch is intended as a summary of my thoughts during the fall of 2005, attempting to understand a conversation with Kontsevich that summer as well as a little bit of his preprint [1]. The theme is to explore further the geometric meaning of the p-curvature, which can provide an analogy to the characteristic variety in microlocal analysis. Let S be a scheme and let X/S be a smooth S-scheme...
متن کاملSingularities in characteristic 0 and characteristic p
1 Characteristic 0 We start with a basic question: given a polynomial f ∈ C[z1, · · · , zn] with a singularity at 0, how can we measure the “singularness” of this polynomial in a precise way? In other words: we can look at various singularities and see intuitively that some singularities are worse than others. For instance, it feels like a transverse self-intersection is probably not as bad as ...
متن کاملOn the geometry of p-typical covers in characteristic p
For p a prime, a p-typical cover of a connected scheme on which p = 0 is a finite étale cover whose monodromy group (i.e., the Galois group of its normal closure) is a p-group. The geometry of such covers exhibits some unexpectedly pleasant behaviors; building on work of Katz, we demonstrate some of these. These include a criterion for when a morphism induces an isomorphism of the p-typical quo...
متن کاملFinite group scheme extensions , and Hopf orders in KC 2 p over a characteristic p discrete valuation ring
Let p be prime. Let R be a discrete valuation ring of characteristic p with field of fractions K. Let C p denote the elementary abelian group of order p. In this paper we use Greither’s approach for classifying short exact sequences of finite R-group schemes to classify R-Hopf orders H in the group ring KC p , reproducing a result of Tossici. We then go further by providing an explicit descript...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-04-07394-0