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Quotients of Tame Fundamental Groups of Affine Curves
"... This paper contains some results on the tame fundamental group of affine curves in positive characteristic. Let D be a curve over an algebraically closed field k of characteristic p ? 0. Choose closed points 1 ; : : : ; r and put U = D \Gamma f 1 ; : : : ; r g. We will suppose that r 1. About th ..."
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This paper contains some results on the tame fundamental group of affine curves in positive characteristic. Let D be a curve over an algebraically closed field k of characteristic p ? 0. Choose closed points 1 ; : : : ; r and put U = D \Gamma f 1 ; : : : ; r g. We will suppose that r 1. About
On the Tame Fundamental Groups of Curves over Algebraically Closed Fields of Characteristic > 0
, 2003
"... We prove that the isomorphism class of the tame fundamental group of a smooth, connected curve over an algebraically closed field k of characteristic p > 0 determines the genus g and the number n of punctures of the curve, unless (g, n) = (0, 0), (0, 1). Moreover, assuming g = 0, n > 1, and t ..."
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Cited by 14 (0 self)
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We prove that the isomorphism class of the tame fundamental group of a smooth, connected curve over an algebraically closed field k of characteristic p > 0 determines the genus g and the number n of punctures of the curve, unless (g, n) = (0, 0), (0, 1). Moreover, assuming g = 0, n > 1
Group formation in large social networks: membership, growth, and evolution
 IN KDD ’06: PROCEEDINGS OF THE 12TH ACM SIGKDD INTERNATIONAL CONFERENCE ON KNOWLEDGE DISCOVERY AND DATA MINING
, 2006
"... The processes by which communities come together, attract new members, and develop over time is a central research issue in the social sciences — political movements, professional organizations, and religious denominations all provide fundamental examples of such communities. In the digital domain, ..."
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Cited by 497 (19 self)
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The processes by which communities come together, attract new members, and develop over time is a central research issue in the social sciences — political movements, professional organizations, and religious denominations all provide fundamental examples of such communities. In the digital domain
Institutions as the Fundamental Cause of LongRun Growth
 IN HANDBOOK OF ECONOMIC GROWTH, ED. PHILIPPE AGHION AND STEPHEN DURLAUF
, 2005
"... This paper develops the empirical and theoretical case that differences in economic institutions are the fundamental cause of differences in economic development. We first document the empirical importance of institutions by focusing on two “quasinatural experiments” in history, the division of K ..."
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Cited by 453 (9 self)
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This paper develops the empirical and theoretical case that differences in economic institutions are the fundamental cause of differences in economic development. We first document the empirical importance of institutions by focusing on two “quasinatural experiments” in history, the division
Knowledge and Common Knowledge in a Distributed Environment
 Journal of the ACM
, 1984
"... : Reasoning about knowledge seems to play a fundamental role in distributed systems. Indeed, such reasoning is a central part of the informal intuitive arguments used in the design of distributed protocols. Communication in a distributed system can be viewed as the act of transforming the system&apo ..."
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Cited by 578 (55 self)
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: Reasoning about knowledge seems to play a fundamental role in distributed systems. Indeed, such reasoning is a central part of the informal intuitive arguments used in the design of distributed protocols. Communication in a distributed system can be viewed as the act of transforming the system
On different notions of tameness in arithmetic geometry
, 2009
"... Abstract: The notion of a tamely ramified covering is canonical only for curves. Several notions of tameness for coverings of higher dimensional schemes have been used in the literature. We show that all these definitions are essentially equivalent. Furthermore, we prove finiteness theorems for the ..."
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Cited by 16 (4 self)
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for the tame fundamental groups of arithmetic schemes. 1
Tame coverings of arithmetic schemes
"... The objective of this paper is to investigate tame fundamental groups of schemes of finite type over Spec(Z). More precisely, let X be a connected scheme of finite type over Spec(Z) and letX be a compactification of X, i.e. a scheme which is proper and of finite type over Spec(Z) and which contains ..."
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The objective of this paper is to investigate tame fundamental groups of schemes of finite type over Spec(Z). More precisely, let X be a connected scheme of finite type over Spec(Z) and letX be a compactification of X, i.e. a scheme which is proper and of finite type over Spec(Z) and which
Tameness of hyperbolic 3–manifolds
"... Marden conjectured that a hyperbolic 3manifold M with finitely generated fundamental group is tame, i.e. it is homeomorphic to the interior of a compact manifold with boundary [42]. Since then, many consequences of this conjecture have been developed by Kleinian group theorists and 3manifold topol ..."
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Cited by 105 (6 self)
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Marden conjectured that a hyperbolic 3manifold M with finitely generated fundamental group is tame, i.e. it is homeomorphic to the interior of a compact manifold with boundary [42]. Since then, many consequences of this conjecture have been developed by Kleinian group theorists and 3manifold
GENERATORS AND RELATIONS FOR THE ÉTALE FUNDAMENTAL GROUP
"... Abstract. If C is a smooth curve over an algebraically closed field k of characteristic exponent p, then the structure of the maximal primetop quotient of the étale fundamental group is known by analytic methods. In this paper, we discuss the properties of the fundamental group that can be deduced ..."
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Cited by 1 (0 self)
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which treats the tame fundamental group from a stacktheoretic perspective. 1.
Results 1  10
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1,158,566