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Graph homology of the moduli space of pointed real curves of genus zero
 Selecta Math. (N.S
"... of genus zero ..."
Fuzzy Surfaces of Genus Zero
 Preprint LPTHE Orsay 97/26, grqc/9706047
"... A fuzzy version of the ordinary round 2sphere has been constructed with an invariant curvature. We here consider linear connections on arbitrary fuzzy surfaces of genus zero. We shall find as before that they are more or less rigidly dependent on the differential calculus used but that a large numb ..."
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Cited by 2 (2 self)
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A fuzzy version of the ordinary round 2sphere has been constructed with an invariant curvature. We here consider linear connections on arbitrary fuzzy surfaces of genus zero. We shall find as before that they are more or less rigidly dependent on the differential calculus used but that a large
Genus Zero Modular Functions
, 2003
"... involved using the power series method to construct a third order nonlinear ordinary differential equation, a Schwarzian equation, for each of the “genus zero ” modular functions, described in the ConwayNorton paper. We first use the Borcherd recursion formuli to generate, in each case, a modular f ..."
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Cited by 1 (0 self)
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involved using the power series method to construct a third order nonlinear ordinary differential equation, a Schwarzian equation, for each of the “genus zero ” modular functions, described in the ConwayNorton paper. We first use the Borcherd recursion formuli to generate, in each case, a modular
Classification of torsionfree genus zero congruence subgroups
 PROC. AMER. MATH. SOC
, 2001
"... We study and classify all torsionfree genus zero congruence subgroups of the modular group. ..."
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Cited by 12 (1 self)
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We study and classify all torsionfree genus zero congruence subgroups of the modular group.
Automatic alignment of genuszero surfaces
 Pattern Analysis and Machine Intelligence, IEEE Transactions on
"... Abstract—A new algorithm is presented that provides a constructive way to conformally warp a triangular mesh of genus zero to a destination surface with minimal metric deformation, as well as a means to compute automatically a measure of the geometric difference between two surfaces of genus zero. T ..."
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Cited by 1 (0 self)
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Abstract—A new algorithm is presented that provides a constructive way to conformally warp a triangular mesh of genus zero to a destination surface with minimal metric deformation, as well as a means to compute automatically a measure of the geometric difference between two surfaces of genus zero
MONOTONE HURWITZ NUMBERS IN GENUS ZERO
"... Abstract. Hurwitz numbers count branched covers of the Riemann sphere with specified ramification data, or equivalently, transitive permutation factorizations in the symmetric group with specified cycle types. Monotone Hurwitz numbers count a restricted subset of the branched covers counted by the H ..."
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Cited by 2 (1 self)
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joincut equation, a partial differential equation with initial conditions that characterizes the generating function for monotone Hurwitz numbers in arbitrary genus. The second is our main result, in which we give an explicit formula for monotone Hurwitz numbers in genus zero. 1.
THE GROWTH OF ENTIRE FUNCTIONS OF GENUS ZERO
, 2006
"... Abstract. In this paper we shall consider the assymptotic growth of Pn(z)  1/kn where Pn(z) is a sequence of entire functions of genus zero. Our results extend a result of J. Muller and A. Yavrian. We shall prove that if the sequence of entire functions has a geometric growth at each point in a se ..."
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Abstract. In this paper we shall consider the assymptotic growth of Pn(z)  1/kn where Pn(z) is a sequence of entire functions of genus zero. Our results extend a result of J. Muller and A. Yavrian. We shall prove that if the sequence of entire functions has a geometric growth at each point in a
Genus zero surface conformal mapping and its application to brain surface mapping
 IEEE Transactions on Medical Imaging
, 2004
"... Abstract—We developed a general method for global conformal parameterizations based on the structure of the cohomology group of holomorphic oneforms for surfaces with or without boundaries (Gu and Yau, 2002), (Gu and Yau, 2003). For genus zero surfaces, our algorithm can find a unique mapping betwe ..."
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Cited by 191 (79 self)
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Abstract—We developed a general method for global conformal parameterizations based on the structure of the cohomology group of holomorphic oneforms for surfaces with or without boundaries (Gu and Yau, 2002), (Gu and Yau, 2003). For genus zero surfaces, our algorithm can find a unique mapping
Nonrational genus zero function fields and . . .
, 2009
"... Let K be a function field with constant field k and let ∞ be a fixed place of K. Let C be the Dedekind domain consisting of all those elements of K which are integral outside ∞. The group G = GL2(C) is important for a number of reasons. For example, when k is finite, it plays a central role in the t ..."
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) is described in a fundamental result of Serre. However there are very few known examples for which a detailed description of G\T is known. (One such is the rational case, C = k[t], i.e. when K has genus zero and ∞ has degree one.) In this paper we give a precise description of G\T for the case where the genus
Results 1  10
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66,549