Density of heat curves in the moduli space
A. Bobenko, N. Ercolani, H. Knörrer, E. Trubowitz (1995)
Banach Center Publications
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Displaying similar documents to “Spectral curves of operators with elliptic coefficients.”
Density of heat curves in the moduli space
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...
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 and any finite set of places of , one can effectively compute the set of isomorphism classes of hyperelliptic curves over with good reduction outside . We show here that an extension of this result to an effective Shafarevich conjecture for of hyperelliptic curves of genus would imply an effective version of Siegel’s theorem for integral points...
Quasi-modular forms attached to elliptic curves, I
Hossein Movasati (2012)
Annales mathématiques Blaise Pascal
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In the present text we give a geometric interpretation of quasi-modular forms using moduli of elliptic curves with marked elements in their de Rham cohomologies. In this way differential equations of modular and quasi-modular forms are interpreted as vector fields on such moduli spaces and they can be calculated from the Gauss-Manin connection of the corresponding universal family of elliptic curves. For the full modular group such a differential equation is calculated and it turns out...
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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On -maximal curves of genus .
Abdón, Miriam, Torres, Fernando (2005)
Beiträge zur Algebra und Geometrie
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Monodromy of a class of logarithmic connections on an elliptic curve.
Machu, Francois-Xavier (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On a family of elliptic curves.
Antoniewicz, Anna (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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On the mappings of elliptic curves defined over into .
Csajbók, Zoltán (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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