78 research outputs found
Wild monodromy and automorphisms of curves
Let be a complete discrete valuation ring of mixed characteristic
with field of fractions containing the -th roots of unity. This paper is
concerned with semi-stable models of -cyclic covers of the projective line
C \la \PK. We start by providing a new construction of a semi-stable model of
in the case of an equidistant branch locus. If the cover is given by the
Kummer equation we define what we called the monodromy polynomial
of ; a polynomial with coefficients in . Its zeros
are key to obtaining a semi-stable model of . As a corollary we obtain an
upper bound for the minimal extension over which a stable model of the
curve exists. Consider the polynomial where
the range over the zeros of . We show that the splitting
field of this polynomial always contains , and that in some instances the
two fields are equal.Comment: The final version of this article will be published in the Duke
Mathematical Journal, published by Duke University pres
Big Actions with non abelian derived subgroup
For any we give an example of big action with non abelian
derived subgroup. It is obtained as a covering of a curve related to the Ree
curve
On smooth curves endowed with a large automorphism -group in characteristic
Let be an algebraically closed field of characteristic and a
connected nonsingular projective curve over with genus . This
paper continues the work begun by Lehr and Matignon, namely the study of "big
actions", i.e. the pairs where is a -subgroup of the
-automorphism group of such that. If
denotes the second ramification group of at the unique ramification
point of the cover , we display necessary conditions on for
to be a big action, which allows us to pursue the classification of big
actions. Our main source of examples comes from the construction of curves with
many rational points using ray class field theory for global function fields,
as initiated by J-P. Serre and followed by Lauter and Auer. In particular, we
obtain explicit examples of big actions with abelian of large exponent.Comment: The section 3, concerning base change and big actions, is ne
Inertia Groups and Jacobian Varieties
Soient k un corps algébriquement clos de caractéristique p > 0 et C/k une courbe projective, lisse, intègre de genre g > 1 munie d un p-groupe d automorphismes G tel que |G| > 2p/(p-1)g. Le couple (C,G) est appelé grosse action. Si (C,G) est une grosse action, alors |G| 0 and C/k be a projective,smooth, integral curve of genus g > 1 endowed with a p-group of automorphisms G such that |G| > 2p/(p-1)g. The pair (C,G) is called big action. If (C,G) is a big action, then |G|<=4p/(p-1)^2g^2 (*). In this thesis, one studies arithmetical repercussions of geometric properties of big actions. One studies the arithmetic of the maximal wild monodromy extension of curves over a local field K of mixed characteristic p with algebraically closed residue field, with arbitrarily high genus having for potential good reduction a big action achieving equality in (*). One studies the associated Swan conductors. Then, one gives the first examples, to our knowledge, of big actions (C,G) with non abelian derived group D(G). These curves are obtained as coverings of S-ray class fields of P1(Fq) where S is a finite non empty subset of P1(Fq). Finally, one describes a method to compute S-Hilbert class fields of supersingular abelian covers of the projective line having exponent p and one illustrates it for some Deligne-Lusztig curves.BORDEAUX1-Bib.electronique (335229901) / SudocSudocFranceF
Scaling up strategies of the chronic respiratory disease programme of the European Innovation Partnership on Active and Healthy Ageing (Action Plan B3: Area 5)
Abstract Action Plan B3 of the European Innovation Partnership on Active and Healthy Ageing (EIP on AHA) focuses on the integrated care of chronic diseases. Area 5 (Care Pathways) was initiated using chronic respiratory diseases as a model. The chronic respiratory disease action plan includes (1) AIRWAYS integrated care pathways (ICPs), (2) the joint initiative between the Reference site MACVIA-LR (Contre les MAladies Chroniques pour un VIeillissement Actif) and ARIA (Allergic Rhinitis and its Impact on Asthma), (3) Commitments for Action to the European Innovation Partnership on Active and Healthy Ageing and the AIRWAYS ICPs network. It is deployed in collaboration with the World Health Organization Global Alliance against Chronic Respiratory Diseases (GARD). The European Innovation Partnership on Active and Healthy Ageing has proposed a 5-step framework for developing an individual scaling up strategy: (1) what to scale up: (1-a) databases of good practices, (1-b) assessment of viability of the scaling up of good practices, (1-c) classification of good practices for local replication and (2) how to scale up: (2-a) facilitating partnerships for scaling up, (2-b) implementation of key success factors and lessons learnt, including emerging technologies for individualised and predictive medicine. This strategy has already been applied to the chronic respiratory disease action plan of the European Innovation Partnership on Active and Healthy Ageing
Erratum to: Scaling up strategies of the chronic respiratory disease programme of the European Innovation Partnership on Active and Healthy Ageing (Action Plan B3: Area 5).
[This corrects the article DOI: 10.1186/s13601-016-0116-9.]
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