Arithmetic variation of fibers in families of curves. Part I: Hurwitz monodromy criteria for rational points on all members of the familiy.
Pierre Debes, Mike Fried (1990)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “The space of morphisms on projective space”
Arithmetic variation of fibers in families of curves. Part I: Hurwitz monodromy criteria for rational points on all members of the familiy.
Ample Divisors on Fine Moduli Spaces on the Projective Plane.
Stein Arild Stomme (1984)
Mathematische Zeitschrift
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Rigidity of the arithmetic fundamental group of punctured projective line.
Hiroaki Nakamura (1990)
Journal für die reine und angewandte Mathematik
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Families of linear differential equations related to the second Painlevé equation
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...
Moduli for stable marked trees of projective lines.
Frank Herrlich (1991)
Mathematische Annalen
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Homogeneous Connections and Moduli Spaces.
Henrik Karstoft (1992)
Mathematica Scandinavica
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Moduli of framed sheaves on projective surfaces.
Bruzzo, Ugo, Markushevish, Dimitri (2011)
Documenta Mathematica
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Some moduli spaces of smooth complete intersections which are quasi-projective
Olivier Benoist (2014)
Journal of the European Mathematical Society
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For some values of the degrees of the equations, we show, using geometric invariant theory, that the coarse moduli space of smooth complete intersections in is quasi-projective.
On the moduli of convexity and smoothness
T. Figiel (1976)
Studia Mathematica
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Moduli of Vector Bundles on the Projective Plane.
W. Barth (1977)
Inventiones mathematicae
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Simple equational specifications of rational arithmetic.
Moss, Lawrence S. (2001)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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A dynamical Shafarevich theorem for twists of rational morphisms
Brian Justin Stout (2014)
Acta Arithmetica
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Let K denote a number field, S a finite set of places of K, and ϕ: ℙⁿ → ℙⁿ a rational morphism defined over K. The main result of this paper states that there are only finitely many twists of ϕ defined over K which have good reduction at all places outside S. This answers a question of Silverman in the affirmative.
Everywhere non reduced moduli spaces.
F. Catanese (1989)
Inventiones mathematicae
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Good moduli spaces for Artin stacks
Jarod Alper (2013)
Annales de l’institut Fourier
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We develop the theory of associating moduli spaces with nice geometric properties to arbitrary Artin stacks generalizing Mumford’s geometric invariant theory and tame stacks.
On non-intersecting arithmetic progressions
Régis de la Bretèche, Kevin Ford, Joseph Vandehey (2013)
Acta Arithmetica
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We improve known bounds for the maximum number of pairwise disjoint arithmetic progressions using distinct moduli less than x. We close the gap between upper and lower bounds even further under the assumption of a conjecture from combinatorics about Δ-systems (also known as sunflowers).