Presentation of hyperelliptic periodic monodromies and splitting families.

Mizuho Ishizaka

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Displaying similar documents to “Presentation of hyperelliptic periodic monodromies and splitting families.”

Braid Monodromy of Algebraic Curves

José Ignacio Cogolludo-Agustín (2011)

Annales mathématiques Blaise Pascal

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These are the notes from a one-week course on Braid Monodromy of Algebraic Curves given at the Université de Pau et des Pays de l’Adour during the Première Ecole Franco-Espagnole: Groupes de tresses et topologie en petite dimension in October 2009. This is intended to be an introductory survey through which we hope we can briefly outline the power of the concept monodromy as a common area for group theory, algebraic geometry, and topology of projective...

Linearly Normal Curves in P^n

Pasarescu, Ovidiu (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 14H45, 14H50, 14J26. We construct linearly normal curves covering a big range from P^n, n ≥ 6 (Theorems 1.7, 1.9). The problem of existence of such algebraic curves in P^3 has been solved in [4], and extended to P^4 and P^5 in [10]. In both these papers is used the idea appearing in [4] and consisting in adding hyperplane sections to the curves constructed in [6] (for P^3) and [15, 11] (for P^4 and P^5) on some special surfaces. In...

On $F_{q^{2}}$ -maximal curves of genus $\frac{1}{6} (q - 3) q$ .

Abdón, Miriam, Torres, Fernando (2005)

Beiträge zur Algebra und Geometrie

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Siegel’s theorem and the Shafarevich conjecture

Aaron Levin (2012)

Journal de Théorie des Nombres de Bordeaux

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It is known that in the case of hyperelliptic curves the Shafarevich conjecture can be made effective, i.e., for any number field $k$ and any finite set of places $S$ of $k$ , one can effectively compute the set of isomorphism classes of hyperelliptic curves over $k$ with good reduction outside $S$ . We show here that an extension of this result to an effective Shafarevich conjecture for of hyperelliptic curves of genus $g$ would imply an effective version of Siegel’s theorem for integral points...