About the group law for the Jacobi variety of a hyperelliptic curve.

Leitenberger, Frank

Displaying similar documents to “About the group law for the Jacobi variety of a hyperelliptic curve.”

Higher genus abelian functions associated with cyclic trigonal curves.

England, Matthew (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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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...

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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Weierstrass gaps and curves on a scroll.

Carvalho, Cícero (2002)

Beiträge zur Algebra und Geometrie

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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...