Author: "Broughton, S" / Language: undetermined - Searchworks@Jio Institute Digital Library Search Results

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Author: Broughton, S. Allen and Wootton, Aaron
Subjects: Mathematics - Algebraic Geometry, Mathematics::Algebraic Geometry, 14H37, 30F20, 30F10, FOS: Mathematics, Algebraic Geometry (math.AG)
Abstract: A cyclic $n$-gonal surface is a compact Riemann surface $X$ of genus $g\geq 2$ admitting a cyclic group of conformal automorphisms $C$ of order $n$ such that the quotient space $X/C$ has genus 0. In this paper, we provide an overview of ongoing research into automorphism groups of cyclic $n$-gonal surfaces. Much of the paper is expository or will appear in forthcoming papers, so proofs are usually omitted. Numerous explicit examples are presented illustrating the computational methods currently being used to study these surfaces., Comment: 38 pages. This paper is based upon two lectures on the authors' joint work, presented by the first author at the UNED (Universidad Nacional de Educacion a Distancia) Geometry Seminar in February-March, 2009.
Published: 2010
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Author: Broughton, S. A. and Wootton, A.
Subjects: 14J50, Mathematics - Algebraic Geometry, 14J10, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 30F10, 30F20, Algebraic Geometry (math.AG)
Abstract: We determine all finite maximal elementary abelian group actions on compact oriented surfaces of genus $\sigma\geq 2$ which are unique up to topological equivalence. For certain special classes of such actions, we determine group extensions which also define unique actions. In addition, we explore in detail one of the families of such surfaces considered as compact Riemann surfaces and tackle the classical problem of constructing defining equations., Comment: 26 Pages
Published: 2007
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Author: Kogel, W. J., Koschier, E. H., Broughton, S., Castañé, C., Melanie Davidson, Hamilton, J. G. C., Kirk, W. D. J., Nielsen, M. C., Riudavets, J., Tol, R. W. H. M., and Teulon, D. A. J.

Author: Chen, S., Slavin, M., Nguyen, Q., Marriott, D., Playford, E. G., Ellis, D., Tania Sorrell, Mcbride, J., Coulter, C., Mccormack, J., Walmsley, K., Looke, D., Johnson, B., Nimmo, G., Drummond, D., Forgan-Smith, R., Preston, E., Allworth, A., Faoagali, J., Gerns, N., Botes, J., Cherian, S., Robson, J., Vohra, R., Norton, R., O Kane, G., Robb, D., Gottlieb, T., Chambers, I., Dewit, D., Carroll, M., Dobson, P., Ferguson, J., Graves, S., Tierney, L., Jozwiak, F., Munro, R., Tomasotos, V., Pickles, R., Holland, J., Groenwald, F., Hale, K., Watson, M., Vaz, R., Hardiman, R., Baleriola, C., Ryan, S., Pritchard, R., Weeks, K., Benn, R., Adams, N., Lawrence, R., Taylor, P., Lindstrom, S., Harkness, J., Palasanthrian, P., Grant, R., Mcpetrie, R., Johnson, R., Halliday, C., Maszewska, K., Lee, O. C., Meyer, W., Dennis, N., Newton, P., Franklin, C., Morrisey, O., Spelman, D., Wesselingh, S., Speed, B., Hellsten, J., Mayall, B., Russell, J., Broughton, S., Woolley, I., Coloe, S., Sherman, A., Korman, T., Huysmans, M., Gordon, D., Rowlands, K., Shaw, D., Ferguson, W., Ritchie, B., Handke, R., Beaman, M., Chiam, A., Mccarthy, J., Heath, C., Altmann, S., Arthur, I., Speers, D., Cox, E., Cooley, L., Mcgregor, A., Currie, B., Lum, G., and Fisher, D.

Author: Barr, A. R., Jefferies, S. P., Broughton, S., Chalmers, K. J., Kretschmer, J. M., Boyd, W. J. R., Collins, H. M., Roumeliotis, S., Logue, S. J., Coventry, S. J., Moody, D. B., Read, B. J., Poulsen, D., Lance, R. C. M., Platz, G. J., Robert Park, Panozzo, J. F., Karakousis, A., Lim, P., Verbyla, A. P., and Eckermann, P. J.

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