Relevant bibliographies by topics / Reral Riemann surfaces

Academic literature on the topic 'Reral Riemann surfaces'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Reral Riemann surfaces"

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Costa, Antonio F., and Milagros Izquierdo. "On real trigonal Riemann surfaces." MATHEMATICA SCANDINAVICA 98, no. 1 (March 1, 2006): 53. http://dx.doi.org/10.7146/math.scand.a-14983.

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A closed Riemann surface $X$ which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering will be called a trigonal morphism. A trigonal Riemann surface $X$ is called real trigonal if there is an anticonformal involution (symmetry) $\sigma$ of $X$ commuting with the trigonal morphism. If the trigonal morphism is a cyclic regular covering the Riemann surface is called real cyclic trigonal. The species of the symmetry $\sigma $ is the number of connected components of the fixed point set $\mathrm{Fix}(\sigma)$ and the orientability of the Klein surface $X/\langle\sigma\rangle$. We characterize real trigonality by means of Fuchsian and NEC groups. Using this approach we obtain all possible species for the symmetry of real cyclic trigonal and real non-cyclic trigonal Riemann surfaces.
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Badr, Eslam. "A Class of Pseudo-Real Riemann Surfaces with Diagonal Automorphism Group." Algebra Colloquium 27, no. 02 (May 7, 2020): 247–62. http://dx.doi.org/10.1142/s1005386720000206.

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A Riemann surface [Formula: see text] having field of moduli ℝ, but not a field of definition, is called pseudo-real. This means that [Formula: see text] has anticonformal automorphisms, but none of them is an involution. A Riemann surface is said to be plane if it can be described by a smooth plane model of some degree d ≥ 4 in [Formula: see text]. We characterize pseudo-real-plane Riemann surfaces [Formula: see text], whose conformal automorphism group Aut+([Formula: see text]) is PGL3(ℂ)-conjugate to a finite non-trivial group that leaves invariant infinitely many points of [Formula: see text]. In particular, we show that such pseudo-real-plane Riemann surfaces exist only if Aut+([Formula: see text]) is cyclic of even order n dividing the degree d. Explicit families of pseudo-real-plane Riemann surfaces are given for any degree d = 2pm with m > 1 odd, p prime and n = d/p.
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Tyszkowska, Ewa. "On (q,n)-gonal pseudo-real Riemann surfaces." International Journal of Mathematics 28, no. 13 (December 2017): 1750095. http://dx.doi.org/10.1142/s0129167x17500951.

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A compact Riemann surface [Formula: see text] of genus [Formula: see text] is called pseudo-real if it admits an anticonformal automorphism but no anticonformal involution. In this paper, we study pseudo-real [Formula: see text]-gonal Riemann surfaces of genera greater or equal to two; these surfaces have anticonformal automorphisms of prime order [Formula: see text] such that the quotient spaces have genus [Formula: see text].
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Duval, Julien, and Damien Gayet. "Riemann surfaces and totally real tori." Commentarii Mathematici Helvetici 89, no. 2 (2014): 299–312. http://dx.doi.org/10.4171/cmh/320.

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Cortázar, Ismael, and Antonio F. Costa. "Real Dihedral p-Gonal Riemann Surfaces." Moscow Mathematical Journal 13, no. 4 (2013): 631–47. http://dx.doi.org/10.17323/1609-4514-2013-13-4-631-647.

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Bujalance, E., F. J. Cirre, and M. D. E. Conder. "Riemann surfaces with maximal real symmetry." Journal of Algebra 443 (December 2015): 494–516. http://dx.doi.org/10.1016/j.jalgebra.2015.05.015.

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7

Kumar, Abhinav, and Ronen E. Mukamel. "Real multiplication through explicit correspondences." LMS Journal of Computation and Mathematics 19, A (2016): 29–42. http://dx.doi.org/10.1112/s1461157016000188.

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We compute equations for real multiplication on the divisor classes of genus-2 curves via algebraic correspondences. We do so by implementing van Wamelen’s method for computing equations for endomorphisms of Jacobians on examples drawn from the algebraic models for Hilbert modular surfaces computed by Elkies and Kumar. We also compute a correspondence over the universal family for the Hilbert modular surface of discriminant $5$ and use our equations to prove a conjecture of A. Wright on dynamics over the moduli space of Riemann surfaces.
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Ares, Filiberto, José G. Esteve, Fernando Falceto, and Amilcar R. De Queiroz. "Complex geometry in the entanglement entropy of fermionic chains." International Journal of Geometric Methods in Modern Physics 14, no. 08 (May 11, 2017): 1740010. http://dx.doi.org/10.1142/s0219887817400102.

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The geometry of Riemann surfaces plays a relevant role in the study of entanglement entropy in the ground state of a free fermionic chain. Recently, a new symmetry for the entropy in non critical theories has been discovered. It is based on the Möbius transformations in a compact Riemann surface associated to the Hamiltonian of the system. Here, we argue how to extend it to critical theories supporting our conjectures with numerical tests. We also highlight the intriguing parallelism that exists with conformal symmetry in real space.
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BUJALANCE, JOSÉ A., ANTONIO F. COSTA, and ANA M. PORTO. "ON THE CONNECTEDNESS OF THE LOCUS OF REAL ELLIPTIC-HYPERELLIPTIC RIEMANN SURFACES." International Journal of Mathematics 20, no. 08 (August 2009): 1069–80. http://dx.doi.org/10.1142/s0129167x09005650.

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A Riemann surface X of genus g > 2 is elliptic-hyperelliptic if it admits a conformal involution h such that the orbit space X/〈h〉 has genus one. This elliptic-hyperelliptic involution h is unique for g > 5 [1]. In a previous article [3], we established the non-connectedness of the subspace [Formula: see text] of real elliptic-hyperelliptic algebraic curves in the moduli space [Formula: see text] of Riemann surfaces of genus g, when g is even and > 5. In this paper we improve this result and give a complete answer to the connectedness problem of the space [Formula: see text] of real elliptic-hyperelliptic surfaces of genus > 5: we show that [Formula: see text] is connected if g is odd and has exactly two connected components if g is even; in both cases the closure [Formula: see text] of [Formula: see text] in the compactified moduli space [Formula: see text] is connected.
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Danilova, O. V. "Abel--Jacobi Mapping for Real Hyperelliptic Riemann Surfaces." Mathematical Notes 76, no. 5/6 (November 2004): 778–83. http://dx.doi.org/10.1023/b:matn.0000049677.56924.18.

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Books on the topic "Reral Riemann surfaces"

1

Natanzon, S. M. Moduli of Riemann surfaces, real algebraic curves, and their superanalogs. Providence, RI: American Mathematical Society, 2004.

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2

Schwartz, Richard Evan. Mostly surfaces. Providence, R.I: American Mathematical Society, 2011.

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Book chapters on the topic "Reral Riemann surfaces"

1

Crowdy, Darren, and Jonathan S. Marshall. "Uniformizing Real Hyperelliptic M-Curves Using the Schottky–Klein Prime Function." In Computational Approach to Riemann Surfaces, 183–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-17413-1_5.

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"Riemann Surfaces." In Modern Real and Complex Analysis, 381–430. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118032558.ch10.

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3

Seppälä, M. "Moduli spaces of real algebraic curves." In Topics on Riemann Surfaces and Fuchsian Groups, 133–54. Cambridge University Press, 2001. http://dx.doi.org/10.1017/cbo9780511569272.009.

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Cirre, F. J., and J. M. Gamboa. "Compact Klein surfaces and real algebraic curves." In Topics on Riemann Surfaces and Fuchsian Groups, 113–32. Cambridge University Press, 2001. http://dx.doi.org/10.1017/cbo9780511569272.008.

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Riera, Ignasi Mundet i. "Parabolic Higgs Bundles for Real Reductive Lie Groups." In Geometry and Physics: Volume II, 653–80. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802020.003.0027.

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This chapter explains the correspondence between local systems on a punctured Riemann surface with the structure group being a real reductive Lie group G, and parabolic G-Higgs bundles. The chapter describes the objects involved in this correspondence, taking some time to motivate them by recalling the definitions of G-Higgs bundles without parabolic structure and of parabolic vector bundles. Finally, it explains the relevant polystability condition and the correspondence between local systems and Higgs bundles.
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