Generalized Weierstrass ...-functions and KP flows in affine spaces.
Gruppi nel cui reticolo duale la relazione di Dedekind è transitiva
Gruppi in cui la relazione di Dedekind è transitiva
Another algebraic proof of Weil's reciprocity
The Burchnall-Chaundy-Krichever correspondence which converts meromorphic functions on a curve into differential operators is used to interpret Weil's reciprocity as the calculation of a resultant.
Sui sottogruppi di Dedekind nei gruppi infiniti
Sei G eine Gruppe und H eine Untergruppe von G. Es wird eine hinreichende Bedingung, damit H eine modulare Untergruppe von G sei, angegeben.
Una caratterizzazione dei sottogruppi di Dedekind di un gruppo finito
A necessary and sufficient condition is given for a subgroup of a finite group to be a Dedekind subgroup.
Spectral curves of operators with elliptic coefficients.
Singularities of -divisors in the jacobian
We consider the linear system of second order theta functions over the Jacobian of a non-hyperelliptic curve . A result by J.Fay says that a divisor contains the origin with multiplicity if and only if contains the surface . In this paper we generalize Fay’s result and some previous work by R.C.Gunning. More precisely, we describe the relationship between divisors containing with multiplicity , divisors containing the fourfold , and divisors singular along , using the third exterior...
Differential operators and rank bundles over elliptic curves
Pryum varieties and the Verlinde formula.
Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function
A lattice model with exponential interaction, was proposed and integrated by M. Toda in the 1960s; it was then extensively studied as one of the completely integrable (differential-difference) equations by algebro-geometric methods, which produced both quasi-periodic solutions in terms of theta functions of hyperelliptic curves and periodic solutions defined on suitable Jacobians by the Lax-pair method. In this work, we revisit Toda’s original approach to give solutions of the Toda lattice in terms...
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