7 articles in this issue
Andrey Inshakov
Surfaces with h-defective tangential varieties are classified for any h. Smooth surfaces with this property are pointed out. It is shown that varieties of osculating (of any order) to curves are not defective.
Anita Buckley, Marina Zompatori
In this paper we prove a generalization of the Transversality Lemma first proved by Hirschowitz [5] and later by Ciliberto and Miranda [1]. We plan to use this lemma to calculate the dimensions of the linear systems of plane curves with homogeneous vanish... see more
Carla Dionisi, Claudio Fontanari
This work is a modern rivisitation of a classical paper by nA. Terracini, going back to 1915, which suggests an elementary but powerful method for studying Grassmann defective varieties. In particular, the case of Veronese surfaces is completely understoo... see more
Daniele Faenzi, Janis Stipins
See directly the article.
Joaquim Roé, Giuseppe Zappalà, Silvano Baggio
In this paper we study the linear systems of degree m hypersurfaces in the n-dimensional projective space with d fixed points of multiplicity e in general position, focusing on the case n=3, e=2. The goal is to compute the dimension of such systems.
Gianni Ciolli, Leonardo Mihalcea
We propose a canonical resolution of singularities of a triple covering X of algebraic surfaces Y when X is normal and Y is smooth.
Gianluca Pacienza, Francesco Polizzi
See direcly in the article.