RT Journal Article T1 Period Matrices Of Accola-Maclachlan And Kulkarni Surfaces A1 Gamboa Mutuberria, José Manuel A1 Bujalance, E. A1 Costa Gonzalez, A.F. A1 Riera, G. AB We compute the period matrices of the Riemann surfaces given by the equations w2 = z2g+2 PB Suomalainen Tiedeakatemia SN 1239-629X YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/57262 UL https://hdl.handle.net/20.500.14352/57262 LA eng NO 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. NO DGICYT PB 95-0017;CHRXCT93-0408;DGICYT PB 950354; DS Docta Complutense RD 8 may 2024