Algebraic covers : field of moduli versus field of definition
Algebraic cycles and values of L-functions.
Algebraic Cycles on Abelian Varieties of Fermat Type.
Algebraic families of smooth hyperbolic surfaces of low degree in P3C.
Algebraic Fermi curves
Algebraic function fields with equal class number
Algebraic points of low degree on the Fermat quintic
Algebraic Vector Bundles over A3 Are Trivial.
Algebraically completely integrable systems and Kummer varieties.
Algebraische Funktionen mit Polen in spezieller Lage.
Algebraische Untersuchungen über den Riemann-Roch'schen Satz
Algèbres de Lie, systèmes hamiltoniens, courbes algébriques
Algebro-geometric Approach to the Yang-Baxter Equation and Related Topics
Algorithm for the characteristics of the triple ...-functions.
Algorithme de Brill-Noether et codes de Goppa
Algorithme de multiplicativité des sommes de carrés
All Congruent Numbers Less than 2000.
Allgemeine Theorie der Asymptoten der algebraischen Curven
Almost Abelian regular dessins d'enfants
A regular dessin d'enfant, in this paper, will be a pair (S,β), where S is a closed Riemann surface and β: S → ℂ̂ is a regular branched cover whose branch values are contained in the set {∞,0,1}. Let Aut(S,β) be the group of automorphisms of (S,β), that is, the deck group of β. If Aut(S,β) is Abelian, then it is known that (S,β) can be defined over ℚ. We prove that, if A is an Abelian group and Aut(S,β) ≅ A ⋊ ℤ₂, then (S,β) is also definable over ℚ. Moreover, if A ≅ ℤₙ, then we provide explicitly...
Almost-graded central extensions of Lax operator algebras
Lax operator algebras constitute a new class of infinite dimensional Lie algebras of geometric origin. More precisely, they are algebras of matrices whose entries are meromorphic functions on a compact Riemann surface. They generalize classical current algebras and current algebras of Krichever-Novikov type. Lax operators for 𝔤𝔩(n), with the spectral parameter on a Riemann surface, were introduced by Krichever. In joint works of Krichever and Sheinman their algebraic structure was revealed and...