共查询到20条相似文献,搜索用时 15 毫秒
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U.T. Hartl 《Mathematische Zeitschrift》2003,243(1):1-23
Let R be a complete discrete valuation ring with residue characteristic zero, and let X be an integral regular flat curve over R with smooth generic fiber. Assume that the special fiber of X is smooth outside a single point where it has a cusp as singularity. We explicitly determine the structure of the minimal
semi-stable model of X. In particular, we give an algebraic proof for the fact that the special fiber of any semi-stable model of X is treelike. This is equivalent to the finiteness of the monodromy of X over R. These two results were obtained in the 1970's by Lê Dung Tráng and A. Durfee using analytic methods.
Received: 23 April 2001 / Published online: 8 November 2002
RID="*"
ID="*" This research was made possible by the support of the Deutsche Forschungsgemeinschaft in form of grant LU 224/5-1. 相似文献
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A. Kumar 《Journal of multivariate analysis》1976,6(2):309-318
In this paper we define semi-stable probability measures (laws) on a real separable Hilbert space and are identified as limit laws. We characterize them in terms of their Lévy-Khinchine measure and the exponent 0 < p ≤ 2. Finally we prove that every semi-stable probability measure of exponent p has finite absolute moments of order 0 ≤ α < p. 相似文献
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Werner Lütkebohmert 《Mathematische Annalen》1990,286(1-3):341-371
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Sun-Wah Kiu 《Stochastic Processes and their Applications》1980,10(2):183-191
A Markov process in Rn{xt} with transition function Pt is called semi-stable of order α>0 if for every a>0, Pt(x, E) = Pat(aax, aaE). Let ?t(ω)=∫t0|xs(ω)|-1/α ds, T(t) be its inverse and {yt}={xT(t)}.Theorem 1: {Yt} is a multiplicative invariant process; i.e., it has transition function qt satisfying qt(x,E)=qt(ax,aE) for all a > 0.Theorem 2: If {xt} is Feller, right continuous and uniformly stochastic continuous on a neighborhood of the origin, then {yt} is Feller. 相似文献
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Shandong University Ji''''nan China Department of Mathematics Statistics Memorial University of Newfoundland HH St. John''''s AC S Canada 《中国科学A辑(英文版)》2006,49(3):387-397
Semi-stable distributions, in classical probability theory, are characterized as limiting distributions of subsequences of normalized partial sums of independent and identically distributed random variables. We establish the noncommutative counterpart of semi-stable distributions. We study the characterization of noncommutative semi-stability through free cumulant transform and develop the free semi-stability and domain of semi-stable attraction in free probability theory. 相似文献
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In topos models for synthetic differential geometry we study connections between smooth spaces (which interpret synthetic calculus) and continuous spaces (which interpret intuitionistic analysis). Our main tools are adjoint retractions of toposes and the standard map from the smooth reals to the continuous reals. 相似文献
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Junmyeong Jang 《Mathematische Zeitschrift》2010,264(2):271-277
In this paper, we proved that, for a semi-stable fibration of a proper smooth surface to a proper smooth curve over a filed
of positive characteristic, if the p-rank of the generic fiber is 0, then the base change of the fibration by a sufficiently many iterative Frobenius morphism
of the base curve violates the semi-positivity theorem. As an application, we suggest a statement on a distribution of p-ranks of reductions for a certain nonclosed point in the moduli space over a number field. 相似文献
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Fulton and MacPherson (Ann. Math. 139 (1994) 183) found a Sullivan dg-algebra model for the space of n-configurations of a smooth complex projective variety X. K?í? (Ann. Math. 139 (1994) 227) gave a simpler model, En(H), depending only on the cohomology ring, H?H*X.We construct an even simpler and smaller model, Jn(H). We then define another new dg-algebra, En(H°), and use Jn(H) to prove that En(H°) is a model of the space of n-configurations of the non-compact punctured manifold X°, when X is 1-connected. Following an idea of Drinfel’d (Leningrad Math. J. 2 (1991) 829), we put a simplicial bigraded differential algebra structure on {En(H°)}n?0. 相似文献
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Pietro Poggi-Corradini 《Transactions of the American Mathematical Society》1996,348(6):2503-2518
We study the one-to-one analytic maps that send the unit disc into a region with the property that for some complex number , . These functions arise in iteration theory, giving a model for the self-maps of the unit disk into itself, and in the study of composition operators as their eigenfunctions. We show that for such functions there are geometrical conditions on the image region that characterize their rate of growth, i.e. we prove that if and only if does not contain a twisted sector. Then, we examine the connection with composition operators, and further investigate the no twisted sector condition. Finally, in the Appendix, we give a different proof of a result of J. Shapiro about the essential norm of a composition operator.
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Gunther Cornelissen Fumiharu Kato Aristides Kontogeorgis 《Israel Journal of Mathematics》2010,180(1):345-370
We consider three examples of families of curves over a non-archimedean valued field which admit a non-trivial group action.
These equivariant deformation spaces can be described by algebraic parameters (in the equation of the curve), or by rigid-analytic
parameters (in the Schottky group of the curve). We study the relation between these parameters as rigid-analytic self-maps
of the disk. 相似文献
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Given a family of Calabi-Yau varieties over the punctured disc or over the field of Laurent series, we show that, after a finite base change, the family can be extended across the origin while keeping the canonical class trivial. More generally, we prove similar extension results for families whose log-canonical class is semi-ample. We use these to show that the Berkovich and essential skeleta agree for smooth varieties over C((t)) with semi-ample canonical class. 相似文献
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In this paper, we study semi-stable Higgs sheaves over compact Kähler manifolds. We prove that there is an admissible approximate Hermitian-Einstein structure on a semi-stable reflexive Higgs sheaf and consequently, the Bogomolov type inequality holds on a semi-stable reflexive Higgs sheaf. 相似文献
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Victor Przyjalkowski 《Central European Journal of Mathematics》2011,9(5):972-977
We prove that Hori-Vafa mirror models for smooth Fano complete intersections in weighted projective spaces admit an interpretation
as Laurent polynomials. 相似文献
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This paper shows that an analytic space X has a unique maximal model through which every proper surjective morphism from a non-singular analytic space to X factors. This is called the geometric minimal model of X and characterized by the contraction property of rational curves. Some other properties such as functoriality, the direct
product property and the quotient property of the geometric minimal model are also studied here. The relation of the geometric
minimal model with Mori's minimal model is discussed.
Received: 25 June 2001 / Published online: 4 April 2002 相似文献
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If the set of spreading models of a Banach space is countable (up to equivalence), then it cannot contain a strictly increasing infinite chain of spreading models generated by normalized weakly null sequences. Moreover, such a space must have a spreading model which is `close' to or for some .