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Period Matrices Of Accola-Maclachlan And Kulkarni Surfaces

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2000
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Suomalainen Tiedeakatemia
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We compute the period matrices of the Riemann surfaces given by the equations w2 = z2g+2
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Accola, R.D.M.: On the number of automorphisms of a closed Riemann surface. Trans. Amer. Math. Soc. 131, 1968, 398{408. Bolza, O.: On binary sextics with linear transformations into themselves. Amer. J.Math. 10, 1888, 47{60. Broughton, A., E. Bujalance, A.F. Costa, J.M. Gamboa, and G. Gromadzki: Symmetries of Accola{Maclachlan and Kulkarni surfaces.Proc. Amer. Math. Soc. 127, 1999, 637{646. Bujalance, E., and M. Conder: On cyclic groups of automorphisms of Riemann surfaces.Preprint. Berry, K., and M. Tretkoff: The period matrix of Macbeath's curve of genus seven. Contemp. Math. 136, 1992, 31{40. [C] Comessatti, H.: Sulla varieta prima abeliane reali I and II. - Ann. Mat. Pura Appl. 2, 1924, 67{106. Gross, B.H., and J. Harris: Real algebraic curves. Ann. Sci.Ecole Norm. Sup. (4) 14, 1981, 157{182. Kulkarni, R.S.: A note on Wiman and Accola{Maclachlan surfaces. Ann. Acad. Sci.Fenn. Math. 16, 1991, 83{94. Kuusalo, T., and M. Naatanen: Geometric uniformization in genus 2. Ann. Acad. Sci. Fenn. Math. 20, 1995, 401{418. Maclachlan, C.: A bound for the number of automorphisms of a compact Riemann surface. J. London Math. Soc. 44, 1969, 265{272. Rauch, H.E., and J. Lewittes: The Riemann surface of Klein with 168 automorphisms. Problems in Analysis, Papers Dedicated to Salomon Bochner, 1969, Princeton Univ. Press, Princeton, N.J., 1970, 297{308. Riera, G.: Automorphisms of Abelian varieties associated with Klein surfaces. J. London Math. Soc. (2) 51, 1995, 442{452. Riera, G., and R.E. Rodriguez: Riemann surfaces and abelian varieties with an automorphism of prime order.Duke Math. J. 69:1, 1993, 199{217. Shimura, G.: On the real points of arithmetic quotient of a bounded symmetric domain. Math. Ann. 215, 1975, 135{164. Schiller, J.: Riemann matrices for hyperelliptic surfaces with involutions other than the interchange of sheets.Michigan Math. J. 15, 1968, 283{287. Schiller, J.: A classication of hyperelliptic Riemann surfaces with automorphisms by means of characteristic Riemann matrices. Michigan Math. J. 18, 1971, 169{186. Schindler, B.: Period matrices of hyperelliptic curves. Manuscripta Math. 78, 1993, 369{380. Siegel, C.L.: Algebras of Riemann Matrices.Tata Institute of Fundamental Research. Lecture on Mathematics and Physics, Tate Institute Bombay, 1956. Silhol, R.: Normal forms of period matrices of real curves of genus 2 and 3. Seppala, M., and R. Silhol: Moduli spaces for real algebraic curves and real abelian varieties.Math. Z. 201, 1989, 151{165. Watson, P.: Symmetries and large abelian automorphism groups. Preprint. Weyl, H.: On generalized Riemann Surfaces. Ann. of Math. 35, 1934, 714{729.
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