On the pole placement problem for linear systems of arbitrary genus.
Ballico, E. (1996)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “On the theorem of de Franchis”
On the pole placement problem for linear systems of arbitrary genus.
Surface bundles over surfaces of small genus.
Bryan, Jim, Donagi, Ron (2002)
Geometry & Topology
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Non-hyperelliptic fibrations of small genus and certain irregular canonical surfaces
Kazuhiro Konno (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On commutativity and ovals for a pair of symmetries of a Riemann surface
Ewa Kozłowska-Walania (2007)
Colloquium Mathematicae
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We study the upper bounds for the total number of ovals of two symmetries of a Riemann surface of genus g, whose product has order n. We show that the natural bound coming from Bujalance, Costa, Singerman and Natanzon's original results is attained for arbitrary even n, and in case of n odd, there is a sharper bound, which is attained. We also prove that two (M-q)- and (M-q')-symmetries of a Riemann surface X of genus g commute for g ≥ q+q'+1 (by (M-q)-symmetry we understand a symmetry...
On the number of coincidences of morphisms between closed Riemann surfaces.
Yolanda Fuertes, Gabino González-Díez (1993)
Publicacions Matemàtiques
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We give a bound for the number of coincidence of two morphisms between given compact Riemann surfaces (complete complex algebraic curves). Our results generalize well known facts about the number of fixed points of an automorphism.
Hyperelliptic maps and surfaces
David Singerman (1997)
Mathematica Slovaca
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On pq-hyperelliptic Riemann surfaces
Ewa Tyszkowska (2005)
Colloquium Mathematicae
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A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of...
The cohomology solution and the index theorem on ring surfaces of genus .
Xue, Changfeng, Tan, Wenchang (2007)
Revista Colombiana de Matemáticas
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On the boundedness of the set of ample vector bundles with fixed sectional genus
E. Ballico (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Classification of projective surfaces with small sectional genus : char >
M. Andreatta, E. Ballico (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Non-maximal cyclic group actions on compact Riemann surfaces.
David Singerman, Paul Watson (1997)
Revista Matemática de la Universidad Complutense de Madrid
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We say that a finite group G of automorphisms of a Riemann surface X is non-maximal in genus g if (i) G acts as a group of automorphisms of some compact Riemann surface Xg of genus g and (ii), for all such surfaces Xg , |Aut Xg| > |G|. In this paper we investigate the case where G is a cyclic group Cn of order n. If Cn acts on only finitely many surfaces of genus g, then we completely solve the problem of finding all such pairs (n,g).