Lezioni di Geometria Algebrica : Geometria sopra una curva; superficie di Riemann, Integrali abeliani /

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Thetafunktionen und hyperelliptische funktionen,

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Theorie der algebraischen funktionen und ihrer integrale,

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De Abelianarum functionum periodis : dissertatio inauguralis ... /

Vita.

Über eine specielle Klasse Abelscher Functionen /

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Über eine specielle Klasse Abelscher Functionen vom Geschlecht 3.

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Zur Theorie der ungeraden Abel'schen Sigmafunctionen dreier Argumente.

"Separatabdruck aus Nr. 15 der Nachrichten von der Kön. Gesellschaft der Wissenschaften und der Universität zu Göttingen v. J. 1889."

Die Transformation der hyperelliptischen Funktionen erster Ordnung.

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Theorie der Abel'schen Functionen. Erstes Heft.

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Abriss einer Theorie der Abelschen Functionen von drei Variabeln.

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Theorie der Abelschen Functionen vom Geschlecht 3.

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Ueber eine specielle Klasse Abelscher Functionen vom Geschlecht 3 /

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The mean dehn functions of Abelian groups

"Vegeu el resum a l'inici del document del fitxer adjunt."

Generating functions for the numbers of Abelian extensions of a local field

The aim of this paper is to give an explicit formula for the num- bers of abelian extensions of a p-adic number field and to study the generating function of these numbers. More precisely, we give the number of abelian ex- tensions with given degree and ramification index, and the number of abelian extensions with given degree of any local field of characteristic zero. Moreover, we give a concrete expression of a generating function for these last numbers

Solitons, τ-functions and hamiltonian reduction for non-Abelian conformal affine Toda theories

We consider the Hamiltonian reduction of the two-loop Wess-Zumino-Novikov-Witten model (WZNW) based on an untwisted affine Kac-Moody algebra script Ĝ. The resulting reduced models, called Generalized Non-Abelian Conformal Affine Toda (G-CAT), are conformally invariant and a wide class of them possesses soliton solutions; these models constitute non-Abelian generalizations of the conformal affine Toda models. Their general solution is constructed by the Leznov-Saveliev method. Moreover, the dressing transformations leading to the solutions in the orbit of the vacuum are considered in detail, as well as the τ-functions, which are defined for any integrable highest weight representation of script Ĝ, irrespectively of its particular realization. When the conformal symmetry is spontaneously broken, the G-CAT model becomes a generalized affine Toda model, whose soliton solutions are constructed. Their masses are obtained exploring the spontaneous breakdown of the conformal symmetry, and their relation to the fundamental particle masses is discussed. We also introduce what we call the two-loop Virasoro algebra, describing extended symmetries of the two-loop WZNW models.