On the moduli of convexity and smoothness
T. Figiel (1976)
Studia Mathematica
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T. Figiel (1976)
Studia Mathematica
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Marius van der Put (2011)
Banach Center Publications
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This paper is a sequel to [vdP-Sa] and [vdP]. The two classes of differential modules (0,-,3/2) and (-,-,3), related to PII, are interpreted as fine moduli spaces. It is shown that these moduli spaces coincide with the Okamoto-Painlevé spaces for the given parameters. The geometry of the moduli spaces leads to a proof of the Painlevé property for PII in standard form and in the Flaschka-Newell form. The Bäcklund transformations, the rational solutions and the Riccati solutions for PII...
Waszak, Aleksander (2015-11-13T13:53:55Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Youliang Tian (1994)
Mathematische Annalen
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Curtis McMullen (2013)
Journal of the European Mathematical Society
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We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.
G. Trautmann, Rosa María Miró-Roig (1994)
Mathematische Zeitschrift
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M. Fried, R. Biggers (1983)
Journal für die reine und angewandte Mathematik
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Rizov, Jordan (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 14J28, 14D22. In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas...
Hans Jürgen Hoppe (1983)
Mathematische Annalen
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Henrik Karstoft (1992)
Mathematica Scandinavica
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W. K. Hayman (1962)
Annales Polonici Mathematici
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Georg Schumacher (1985)
Manuscripta mathematica
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Kok Onn Ng (1995)
Manuscripta mathematica
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Rick Miranda (1981)
Mathematische Annalen
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H. Johnen (1972)
Matematički Vesnik
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Kapranov, M. (1998)
Documenta Mathematica
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Jun Li (1994)
Inventiones mathematicae
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P. Brückmann (1996)
Journal für die reine und angewandte Mathematik
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Javier Alonso, Antonio Ullán (1991)
Extracta Mathematicae
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Let E be a real normed linear space with unit ball B and unit sphere S. The classical modulus of convexity of J. A. Clarkson [2] δE(ε) = inf {1 - 1/2||x + y||: x,y ∈ B, ||x - y|| ≥ ε} (0 ≤ ε ≤ 2) is well known and it is at the origin of a great number of moduli defined by several authors. Among them, D. F. Cudia [3] defined the directional, weak and directional weak modulus of convexity of E, respectively, as δE...