ISSN:
1618-1891
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary Let X be a complete variety over an algebraically closed field k. Γ is said to be an algebraic series of divisors on X, parametrized by a k-scheme T, if it is an effective Cartier divisor in X×T, flat over T. If T is pure of dimension r, r is said to be the dimension of the series. In this paper, following classical ideas of Allen, Castelnuovo and Torelli, we study some properties of algebraic series of any dimension of divisors on an irreducible, non singular curve, and of 1-dimensional series of divisors on an irreducible, non singular surface.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01773389
Permalink