13 citations · 31 across the 12 of their papers we have counts for
10 papers · 1 filter
A Note on Super Koszul Complex and the Berezinian
Simone Noja, Riccardo Re
We construct the super Koszul complex of a free supercommutative -module of rank and prove that its homology is concentrated in a single degree and it yields an exact…
The Universal de Rham/Spencer Double Complex on a Supermanifold
Sergio L. Cacciatori, Simone Noja, Riccardo Re
The universal Spencer and de Rham complexes of sheaves over a smooth or analytical manifold are well known to play a basic role in the theory of -modules. In this arti…
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…
Non Projected Calabi-Yau Supermanifolds over
Sergio L. Cacciatori, Simone Noja, Riccardo Re
We start a systematic study of non-projected supermanifolds, concentrating on supermanifolds with fermionic dimension 2 and with the reduced manifold a complex projective space. We…
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…
Principal part bundles on $\PP^n$ and quiver representations
Riccardo Re
We study the principal parts bundles of the degree line bundle on the dimensional projective space as homogeneous bundles and we describe their associated qui…
On the maximum rank of a real binary form
Antonio Causa, Riccardo Re
We show that a real homogeneous polynomial f(x,y) with distinct roots and degree d greater or equal than 3 has d real roots if and only if for any (a,b) not equal to (0,0) the poly…
Multiplications of Maximal Rank in the Cohomology of P^1\times P ^1
Salvatore Giuffrida, Renato Maggioni, Riccardo Re
We show that the linear map defined by multiplication with a general bi-homogeneous form between two bi-graduated pieces of the first cohomology of a nonsingular quadric in the pro…