12 citations · 22 across the 12 of their papers we have counts for
12 papers · 1 filter
Cohomology of normal bundles of special rational varieties
Alberto Alzati, Riccardo Re
We give a new method for calculating the cohomology of the normal bundles over rational varieties which are smooth projections of Veronese embeddings. The method can be used also w…
An algorithm for the normal bundle of rational monomial curves
Alberto Alzati, Riccardo Re, Alfonso Tortora
We give an algorithm for calculating the splitting type of the normal bundle of any rational monomial curve. The algorithm is obtained by reducing the calculus to a combinatorial p…
Irreducible Components of Hilbert Schemes of Rational Curves with given Normal Bundle
Alberto Alzati, Riccardo Re
We develop a new general method for computing the decomposition type of the normal bundle to a projective rational curve. This method is then used to detect and explain an example…
PGL(2) actions on Grassmannians and projective construction of rational curves with given restricted tangent bundle
Alberto Alzati, Riccardo Re
We give an explicit parametrization of the Hilbert schemes of rational curves C in P^n having a given splitting type of the restricted tangent bundle from P^n to C. The adopted tec…
Quadro-quadric special birational transformations of projective spaces
Alberto Alzati, José Carlos Sierra
Special birational transformations $Φ:\p^r\da Z$ defined by quadric hypersurfaces are studied by means of the variety of lines $\mathcal L_z\subset\p^{r-1}$ passing through a gener…
Special birational transformations of projective spaces
Alberto Alzati, José Carlos Sierra
Extending some results of Crauder and Katz, and Ein and Shepherd-Barron on special Cremona transformations, we study birational transformations of the complex projective spaces ont…