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Relative entropy for compact Riemann surfaces
, 1999
"... The relative entropy of the massive free bosonic field theory is studied on various compact Riemann surfaces as a universal quantity with physical significance, in particular, for gravitational phenomena. The exact expression for the sphere is obtained, as well as its asymptotic series for large mas ..."
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The relative entropy of the massive free bosonic field theory is studied on various compact Riemann surfaces as a universal quantity with physical significance, in particular, for gravitational phenomena. The exact expression for the sphere is obtained, as well as its asymptotic series for large
Injectivity radius and gonality of a compact Riemann surface
 American Journal of Mathematics
"... Abstract. We obtain a sharp lower bound for the volumes of purely 1dimensional complex analytic subvarieties in a geodesic tubular neighborhood of the diagonal of the Cartesian product of a compact Riemann surface with itself. This leads to a lower bound of the Seshadri number of the canonical line ..."
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Cited by 4 (0 self)
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Abstract. We obtain a sharp lower bound for the volumes of purely 1dimensional complex analytic subvarieties in a geodesic tubular neighborhood of the diagonal of the Cartesian product of a compact Riemann surface with itself. This leads to a lower bound of the Seshadri number of the canonical
COMPUTATION OF CONFORMAL REPRESENTATIONS OF COMPACT RIEMANN SURFACES
, 2009
"... Abstract. We find a system of two polynomial equations in two unknowns, whose solution allows to give an explicit expression of the conformal representation of a simply connected three sheeted compact Riemann surface onto the extended complex plane. This function appears in the description of the ra ..."
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Cited by 2 (0 self)
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Abstract. We find a system of two polynomial equations in two unknowns, whose solution allows to give an explicit expression of the conformal representation of a simply connected three sheeted compact Riemann surface onto the extended complex plane. This function appears in the description
Metabelian Groups Acting on Compact Riemann Surfaces
, 1995
"... ABSTRACT. A metabelian group G actirag as automorphism group on a compact Riemann surface of genus g> 2 has order less than or equal to 16(g — 1). We calculate for which values of y this bound is achieved and on these cases we calculate a presentatiora of the group G. 1. ..."
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ABSTRACT. A metabelian group G actirag as automorphism group on a compact Riemann surface of genus g> 2 has order less than or equal to 16(g — 1). We calculate for which values of y this bound is achieved and on these cases we calculate a presentatiora of the group G. 1.
Differentialgeometrie III Compact Riemann Surfaces
"... 1.1 Nonsingular Algebraic Curves........................ 4 1.2 Quotients under Group Actions........................ 7 ..."
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1.1 Nonsingular Algebraic Curves........................ 4 1.2 Quotients under Group Actions........................ 7
Singular mean field equations on compact Riemann surfaces
"... Abstract For a general class of elliptic PDE's in mean field form on compact Riemann surfaces with exponential nonlinearity, we address the question of the existence of solutions with concentrated nonlinear term, which, in view of the applications, are physically of definite interest. In the m ..."
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Cited by 3 (2 self)
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Abstract For a general class of elliptic PDE's in mean field form on compact Riemann surfaces with exponential nonlinearity, we address the question of the existence of solutions with concentrated nonlinear term, which, in view of the applications, are physically of definite interest
Finiteness of conformal blocks over compact Riemann surfaces
, 2002
"... Abstract: We study conformal blocks (the space of correlation functions) over compact Riemann surfaces associated to vertex operator algebras which are the sum of highest weight modules for the underlying Virasoro algebra. Under the fairly general condition, for instance, C2finiteness, we prove that ..."
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Abstract: We study conformal blocks (the space of correlation functions) over compact Riemann surfaces associated to vertex operator algebras which are the sum of highest weight modules for the underlying Virasoro algebra. Under the fairly general condition, for instance, C2finiteness, we prove
Nonabelian vortices on compact Riemann surfaces
, 2008
"... We consider the vortex equations for a U(n) gauge field A coupled to a Higgs field φ with values on the n × n matrices. It is known that when these equations are defined on a compact Riemann surface Σ, their moduli space of solutions is closely related to a moduli space of τstable holomorphic npai ..."
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Cited by 16 (5 self)
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We consider the vortex equations for a U(n) gauge field A coupled to a Higgs field φ with values on the n × n matrices. It is known that when these equations are defined on a compact Riemann surface Σ, their moduli space of solutions is closely related to a moduli space of τstable holomorphic n
Results 1  10
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7,939