28 citations · 83 across the 19 of their papers we have counts for
19 papers
Cohomological characterization of Universal Bundles of G(1,n)
Enrique Arrondo, Alicia Tocino
We characterize directs sums of twists of symmetric powers of the universal quotient bundle over the Grassmannian of lines. We use a method that could be used for analogue results…
On the vanishing of the hyperdeterminant under certain symmetry conditions
Enrique Arrondo, Alicia Tocino
Given a vector space over a field $\K$ whose characteristic is coprime with , let us decompose the vector space of multilinear forms $V^*\otimes\overset{\text(d)}{\ldots}\o…
The Nullstellensatz without the Axiom of Choice
Enrique Arrondo
We give a short proof of the most general version of the Nullstellensatz without using the Axiom of Choice.
Representation theory of finite groups through (basic) algebraic geometry
Enrique Arrondo
We introduce a new approach to representation theory of finite groups that uses some basic algebraic geometry and allows to do all the theory without using characters. With this ap…
Skew-Symmetric Tensor Decomposition
Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques +1
We introduce the ``skew apolarity lemma'' and we use it to give algorithms for the skew-symmetric rank and the decompositions of tensors in { with $d\leq…
Schwarzenberger bundles on smooth projective varieties
Enrique Arrondo, Simone Marchesi, Helena Soares
We define Schwarzenberger bundles on any smooth projective variety X. We introduce the notions of jumping pairs of a Steiner bundle E on X and determine a bound for the dimension o…