2011, Graduate studies in mathematics, ISBN 0821853694, Volume 125, xviii, 236

Book

2014, Graduate studies in mathematics, ISBN 9780821898475, Volume 154, xv, 384

Book

2011, Student mathematical library, ISBN 0821853686, Volume 60., xiii, 314

Book

1997, Universitext, ISBN 9783540533344, xiv, 291

Book

Journal of the Korean Mathematical Society, ISSN 0304-9914, 2016, Volume 53, Issue 2, pp. 263 - 286

We discuss relations between Galois coverings of compact Riemann surfaces and their Jacobi varieties...

Compact riemann surface | Jacobi variety | Galois covering | MATHEMATICS | MATHEMATICS, APPLIED | compact Riemann surface

Compact riemann surface | Jacobi variety | Galois covering | MATHEMATICS | MATHEMATICS, APPLIED | compact Riemann surface

Journal Article

1988, ISBN 9789971507589, Volume 10., viii, 174

Book

International Journal of Mathematics, ISSN 0129-167X, 06/2015, Volume 26, Issue 6, pp. 1541010 - 1-1541010-39

Given a smooth map from a compact Riemann surface to a complex manifold equipped with a strongly pseudoconvex complex Finsler metric, we define the $\bar{\partial...

Complex Finsler metric | harmonic map | weakly Kähler Finsler metric | δ-energy functional | MATHEMATICS | partial derivative-energy functional | weakly Kahler Finsler metric | CHAIN RULE | COMPACT KAHLER-MANIFOLDS | Manifolds | Harmonics | Riemann surfaces | Maps | Mathematical analysis | Curvature

Complex Finsler metric | harmonic map | weakly Kähler Finsler metric | δ-energy functional | MATHEMATICS | partial derivative-energy functional | weakly Kahler Finsler metric | CHAIN RULE | COMPACT KAHLER-MANIFOLDS | Manifolds | Harmonics | Riemann surfaces | Maps | Mathematical analysis | Curvature

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 10/2016, Volume 107, Issue 4, pp. 329 - 340

Let X be a compact Riemann surface of genus $${g \geq 2}$$ g ≥ 2 , and let Aut(X) be its group of automorphisms...

Exponent | Z -group | Primary 14H37 | Compact Riemann surface | Mathematics, general | Mathematics | Automorphism group | 30F10 | Secondary 20E34 | Hurwitz group | Cyclic Sylow subgroup | Z-group | MATHEMATICS | FINITE-GROUPS | SYLOW 2-SUBGROUPS

Exponent | Z -group | Primary 14H37 | Compact Riemann surface | Mathematics, general | Mathematics | Automorphism group | 30F10 | Secondary 20E34 | Hurwitz group | Cyclic Sylow subgroup | Z-group | MATHEMATICS | FINITE-GROUPS | SYLOW 2-SUBGROUPS

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 03/2011, Volume 7, Issue 2, pp. 389 - 429

We study a relative trace formula for a compact Riemann surface with respect to a closed geodesic C...

Relative trace formula | compact Riemann surface | period integrals | lengths of geodesics | MATHEMATICS | WALDSPURGER | MANIFOLDS | EIGENFUNCTIONS | SPECTRUM | GEODESICS

Relative trace formula | compact Riemann surface | period integrals | lengths of geodesics | MATHEMATICS | WALDSPURGER | MANIFOLDS | EIGENFUNCTIONS | SPECTRUM | GEODESICS

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 11/2006, Volume 134, Issue 11, pp. 3391 - 3393

We clarify that the Ricci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.

Riemann surfaces | Mathematical theorems | Solitons | Vector fields | Mathematical constants | Entropy | Mathematics | Curvature | Rotation | College mathematics | Uniformization of Riemann surfaces | Ricci flow | MATHEMATICS | MATHEMATICS, APPLIED | uniformization of Riemann surfaces | COMPACT 2-ORBIFOLDS

Riemann surfaces | Mathematical theorems | Solitons | Vector fields | Mathematical constants | Entropy | Mathematics | Curvature | Rotation | College mathematics | Uniformization of Riemann surfaces | Ricci flow | MATHEMATICS | MATHEMATICS, APPLIED | uniformization of Riemann surfaces | COMPACT 2-ORBIFOLDS

Journal Article

1979, Lecture notes in mathematics, ISBN 0387097228, Volume 767., xii, 284

Book

International Journal of Mathematics, ISSN 0129-167X, 04/2015, Volume 26, Issue 4, pp. 1540003 - 1-1540003-7

It is proved that Galois coverings of smooth families of compact Riemann surfaces over Stein manifolds are holomorphically convex if the covering transformation groups are isomorphic to discrete...

pseudoconvex | compact Riemann surface | Disc bundle | FIBER | MATHEMATICS | HARMONIC-MAPPINGS | LEVI PROBLEM | SPACES | VARIETIES | MANIFOLDS | Manifolds | Discs | Riemann surfaces | Transformations (mathematics) | Coverings | Mathematical analysis | Bundles | Subgroups

pseudoconvex | compact Riemann surface | Disc bundle | FIBER | MATHEMATICS | HARMONIC-MAPPINGS | LEVI PROBLEM | SPACES | VARIETIES | MANIFOLDS | Manifolds | Discs | Riemann surfaces | Transformations (mathematics) | Coverings | Mathematical analysis | Bundles | Subgroups

Journal Article

International Journal of Mathematics, ISSN 0129-167X, 01/2010, Volume 21, Issue 1, pp. 67 - 76

We study the self-dual Chern–Simons Higgs equation on a compact Riemann surface with Neumann boundary condition...

ChernSimons Higgs equation | Compact Riemann surface | EXISTENCE | MATHEMATICS | MULTIVORTEX SOLUTIONS | INEQUALITIES | VORTICES | Chern-Simons Higgs equation | compact Riemann surface | MANIFOLDS | TRUDINGER | MODEL

ChernSimons Higgs equation | Compact Riemann surface | EXISTENCE | MATHEMATICS | MULTIVORTEX SOLUTIONS | INEQUALITIES | VORTICES | Chern-Simons Higgs equation | compact Riemann surface | MANIFOLDS | TRUDINGER | MODEL

Journal Article

Publications of the Research Institute for Mathematical Sciences, ISSN 0034-5318, 03/2007, Volume 43, Issue 1, pp. 171 - 180

.... Here, the case of boundaries of disc bundles over certain compact Riemann surfaces is considered.

Disc bundles | Compact Riemann surfaces | Rigidity | Levi flats | KAHLER-MANIFOLDS | MATHEMATICS | DIMENSION-2 | MAPS | disc bundles | HARMONIC-MAPPINGS | COMPLEX TORI | SPACES | compact Riemann surfaces | rigidity

Disc bundles | Compact Riemann surfaces | Rigidity | Levi flats | KAHLER-MANIFOLDS | MATHEMATICS | DIMENSION-2 | MAPS | disc bundles | HARMONIC-MAPPINGS | COMPLEX TORI | SPACES | compact Riemann surfaces | rigidity

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2017, Volume 2017, Issue 1, pp. 1 - 16

We study the gravitational action induced by coupling two-dimensional non-conformal, massive matter to gravity on a compact Riemann surface...

Quantum Physics | Quantum Field Theories, String Theory | 2D Gravity | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | MANIFOLDS | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Gravitation | Riemann surfaces | Coupling | Mathematical analysis | Infinite series | Quantum gravity | Physics - High Energy Physics - Theory

Quantum Physics | Quantum Field Theories, String Theory | 2D Gravity | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | MANIFOLDS | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Gravitation | Riemann surfaces | Coupling | Mathematical analysis | Infinite series | Quantum gravity | Physics - High Energy Physics - Theory

Journal Article

International Mathematics Research Notices, ISSN 1073-7928, 2015, Volume 2015, Issue 20, pp. 10595 - 10623

Given a family of Galois coverings of the projective line, we give a simple sufficient condition ensuring that the closure of the image of the family via the...

COMPACT RIEMANN SURFACES | MATHEMATICS | AUTOMORPHISM-GROUPS | MODULI SPACE | CURVES | FAMILIES

COMPACT RIEMANN SURFACES | MATHEMATICS | AUTOMORPHISM-GROUPS | MODULI SPACE | CURVES | FAMILIES

Journal Article

Mathematical Modelling and Analysis, ISSN 1392-6292, 11/2015, Volume 20, Issue 6, pp. 852 - 865

... (s) in the critical strip 0 < σ < 1. The functions ZPSL(2,Z)(s) and Z C (s) are defined on the modular group and on the compact Riemann surface, respectively.

compact Riemann surface | modular group | Riemann zeta-function | critical strip | Selberg zeta-function | COMPACT RIEMANN SURFACES | MATHEMATICS | Mathematical research | Research | Functions, Zeta

compact Riemann surface | modular group | Riemann zeta-function | critical strip | Selberg zeta-function | COMPACT RIEMANN SURFACES | MATHEMATICS | Mathematical research | Research | Functions, Zeta

Journal Article

Geometriae Dedicata, ISSN 0046-5755, 10/2017, Volume 190, Issue 1, pp. 185 - 197

Let X be a compact Riemann surface of genus $$g\ge 2$$ g ≥ 2 , and let G be a subgroup of $$\mathrm{Aut}(X)$$ Aut ( X...

Geometry | Secondary 20F16 | Z -group | Group of square-free order | Exponent | Compact Riemann surface | Primary 14H37 | Mathematics | Automorphism group | Metacyclic group | 30F10 | Cyclic Sylow subgroup | Z-group | MATHEMATICS | NUMBER | GENUS | ODD ORDER

Geometry | Secondary 20F16 | Z -group | Group of square-free order | Exponent | Compact Riemann surface | Primary 14H37 | Mathematics | Automorphism group | Metacyclic group | 30F10 | Cyclic Sylow subgroup | Z-group | MATHEMATICS | NUMBER | GENUS | ODD ORDER

Journal Article

Houston Journal of Mathematics, ISSN 0362-1588, 2015, Volume 41, Issue 3, pp. 727 - 731

The aim of this article is to indicate how Koebe's General Uniformisation Theorem for planar Riemann surfaces may be used to construct families of compact Riemann surfaces of every genus...

Compact Riemann surfaces | General Uniformisation Theorem | MATHEMATICS | UNIFORMIZATION THEOREM

Compact Riemann surfaces | General Uniformisation Theorem | MATHEMATICS | UNIFORMIZATION THEOREM

Journal Article

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