Triple Solids with Sectional Genus three.
Antonio Lanteri, Elvira Laura Livorni (1990)
Forum mathematicum
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Displaying similar documents to “Wedge cancellation and genus.”
Triple Solids with Sectional Genus three.
Some loci in Teichmüller space for genus seven defined by vanishing thetanulls.
Robert D.M. Accola (1993)
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Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group
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Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We obtain a representation of the mapping class group of genus 2 surface in terms of a coordinate system of the Teichmuller space defined by trace functions.
The Genus of Curves in P4 and P5.
Jürgen Rathmann (1989)
Mathematische Zeitschrift
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The Ambiguous Class Group and the Genus Group of Certain Non-Normal Extensions
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Non-conservative function fields of genus (p + 1) /2.
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Genus number and l-Rank of Genus Group of cyclic extensions of Degree l.
Teruo Takeuchi (1982)
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A descendent relation in genus 2
Pavel Belorousski, Rahul Pandharipande (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the Heegaard genus of contact 3-manifolds
Burak Ozbagci (2011)
Open Mathematics
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It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show that the Heegaard genus of contact 3-manifolds is not necessarily additive under contact connected sum. We also prove some basic properties of the contact genus (a.k.a. open book genus [Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196]) of 3-manifolds, and compute this invariant for some 3-manifolds.
The Genus of Curves in P4 verifying certain Flag conditions.
L. Chiantini, C. Ciliberto (1995)
Manuscripta mathematica
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Heegaard and regular genus of 3-manifolds with boundary.
P. Cristofori, C. Gagliardi, L. Grasselli (1995)
Revista Matemática de la Universidad Complutense de Madrid
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By means of branched coverings techniques, we prove that the Heegaard genus and the regular genus of an orientable 3-manifold with boundary coincide.
Descent via (3,3)-isogeny on Jacobians of genus 2 curves
Nils Bruin, E. Victor Flynn, Damiano Testa (2014)
Acta Arithmetica
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We give a parametrization of curves C of genus 2 with a maximal isotropic (ℤ/3)² in J[3], where J is the Jacobian variety of C, and develop the theory required to perform descent via (3,3)-isogeny. We apply this to several examples, where it is shown that non-reducible Jacobians have non-trivial 3-part of the Tate-Shafarevich group.