Geometric structures on toroidal maps and elliptic curves

David Singerman; Robert I. Syddall

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Displaying similar documents to “Geometric structures on toroidal maps and elliptic curves”

Complex Hyperbolic Surfaces of Abelian Type

Holzapfel, R. (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07. We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ball. We characterize abelian surfaces which have a birational transform of hyperbolic type by the existence of a reduced divisor with only elliptic curve components and maximal singularity rate (equal to 4). We discover a...

Half-twists and equations in genus 2.

Aigon-Dupuy, Aline (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

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Myrberg's numerical uniformization of hyperelliptic curves.

Seppälä, Mika (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

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Commensurations of the Johnson kernel.

Brendle, Tara E., Margalit, Dan (2004)

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Finite presentations for the mapping class group via the ordered complex of curves.

Benvenuti, Silvia (2001)

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Maps on surfaces and Galois groups

Gareth A. Jones (1997)

Mathematica Slovaca

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An algorithm for finding the Veech group of an origami.

Schmithüsen, Gabriela (2004)

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Counting immersed surfaces in hyperbolic 3-manifolds.

Masters, Joseph D. (2005)

Algebraic & Geometric Topology

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Fold maps from the sphere to the plane.

Hacon, D., Mendes de Jesus, C., Romero Fuster, M.C. (2006)

Experimental Mathematics

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Surfaces in 3-space that do not lift to embeddings in 4-space

J. Carter, Masahico Saito (1998)

Banach Center Publications

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A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces in 3-space are presented. One of these examples has branch points. The other is based on a construction similar to the construction of Giller's example in which the orientation double cover of a surface with odd Euler characteristic...