Basics on families of hyperelliptic curves
Basis of homology adapted to the trigonal automorphism of a Riemann surface.
A closed (compact without boundary) Riemann surface S of genus g is said to be trigonal if there is a three sheeted covering (a trigonal morphism) from S to the Riemann sphere, ƒ : S →Ĉ. If there is an automorphism of period three, φ, on S permuting the sheets of the covering, we shall call S cyclic trigonal and will be called trigonal automorphism. In this paper we determine the intersection matrix on the first homology group of a cyclic trigonal Riemann surface on an adapted basis B to the trigonal...
Behavior of the trinomial arcs when .
Beitrag zur Bestimmung von ... (0, 0, ...0) durch die Klassenmoduln algebraischer Functionen.
Beiträge zur Theorie der hyperelliptischen Sigmafunctionen
Belyi's theorem revisited.
Bemerkung zu der Abhandlung On the theory of Riemann's Integrals" by H. F. Baker. Bd. 45, der Mathem. Annalen
Bemerkungen über Theta- Functionen
Bemerkungen über Theta- Functionen
Berichtigung zu der Arbeit: On Algebraic Curves over Real Closed Fields. Math. Z. 150, 49-70 (1976).
Bernstein classes
One of the classical Bernstein inequalities compares the maxima of a polynomial of a given degree on the interval [-1,1] and on the ellipse in the complex plane with the focuses -1, 1 and the semiaxes . We prove a similar inequality for a branch of an algebraic function of a given degree on the maximal disk of its regularity, with the explicitly given constant, depending on the degree only. In particular, this improves a recent inequality of Fefferman and Narasimhan and answers one of their questions....
Beweis eines Riemannschen Satzes.
Beweis eines Satzes über rationale Curven
Beweis eines Satzes von Bertini über lineare Systeme ganzer Functionen
Beweis eines Satzes von Bertini über lineare Systeme ganzer Functionen. II.
Beweis eines Satzes von Riemann über ...-Charakteristiken.
Bicyclotomic polynomials and impossible intersections
In a recent paper we proved that there are at most finitely many complex numbers such that the points and are both torsion on the Legendre elliptic curve defined by . In a sequel we gave a generalization to any two points with coordinates algebraic over the field and even over . Here we reconsider the special case and with complex numbers and .
Big Schottky.
Biliaisons élémentaires en codimension 2
Un théorème de Strano montre que si une courbe gauche localement Cohen-Macaulay n’est pas minimale dans sa classe de biliaison, elle admet une biliaison élémentaire strictement décroissante. R. Hartshorne a récemment donné une nouvelle preuve de ce résultat en le plaçant dans un contexte plus général. Dans cet article on apporte une précision, en utilisant les techniques introduites par Hartshorne : on montre que si un sous-schéma de codimension localement Cohen-Macaulay de n’est pas minimal...
Bilinear three-cycles on the projective line.