13 citations · 31 across the 12 of their papers we have counts for
14 papers
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…
Complete Intersections of Quadrics and the Weak Lefschetz Property
Alberto Alzati, Riccardo Re
We consider artinian algebras , with generated by a regular sequence of homogeneous forms of the same degree . We show that the multipl…
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…
Universal Minimal Flow in the Theory of Topological Groupoids
Riccardo Re, Pietro Ursino
In this paper we investigate some connections between Topological Dynamics, the theory of G-Principal Bundles, and the theory of Locally Trivial Groupoids.
One-Dimensional Super Calabi-Yau Manifolds and their Mirrors
Simone Noja, Sergio Luigi Cacciatori, Francesco Dalla Piazza +2
We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY's having reduced manifo…
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…
Groupoid Quantales: a non étale setting
Alessandra Palmigiano, Riccardo Re
It is well known that if G is an étale topological groupoid then its topology can be recovered as the sup-lattice generated by G-sets, i.e. by the images of local bisections. This…
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…