4 papers
Singularities of linear systems and the Waring Problem
Massimiliano Mella
Waring problem for homogeneus forms asks for additive decomposition of a form into powers of linear forms. A classical problem is to determine when such a decomposition is uniq…
Birational geometry of terminal quartic 3-folds II: the importance of beings Q-factorial
M. Mella
The paper explores the birational geometry of terminal quartic 3-folds. In doing this I develop a new approach to study maximal singularities with positive dimensional centers. Thi…
Morphisms of Projective Varieties from the viewpoint of Minimal Model Theory
M. Andreatta, M. Mella
In this Lecture Notes we present, in a sufficiently self contained way, our contributions and interests in the field of Minimal Model Theory. We study Fano-Mori spaces, both from t…
Birational geometry of terminal quartic 3-folds. I
A. Corti, M. Mella
This is the unabridged web version of the paper that will be published on the American Journal of Mathematics. In this paper, we study the birational geometry of certain examples o…