Publications (21)
AGATA - Advanced Gamma Tracking Array
S. Akkoyun, A. Algora, B. Alikhani +351
The Advanced GAmma Tracking Array (AGATA) is a European project to develop and operate the next generation gamma-ray spectrometer. AGATA is based on the technique of gamma-ray ener…
m-blocks collections and Castelnuovo-Mumford regularity in multiprojective spaces
L. Costa, R. M. Miró-Roig
The main goal of the paper is to generalize Castelnuovo-Mumford regularity for coherent sheaves on projective spaces to coherent sheaves on -dimensional smooth projective variet…
Geometric collections and Castelnuovo-Mumford Regularity
L. Costa, R. M. Miró-Roig
The paper begins by overviewing the basic facts on geometric exceptional collections. Then, we derive, for any coherent sheaf $\cF$ on a smooth projective variety with a geometric…
Theta divisors and Ulrich bundles on Geometrically ruled surfaces
M. Aprodu, G. Casnati, L. Costa +2
We consider the following question: for which invariants and is there a geometrically ruled surface over a curve of genus with invariant such…
Stability and Unobstructedness of Syzygy Bundles
L. Costa, P. Macias Marques, R. M. Miró-Roig
It is a longstanding problem in Algebraic Geometry to determine whether the syzygy bundle on $\PP^N$ defined as the kernel of a general epimorphism $\xymatrix{Ï…
Cohomological characterization of vector bundles on multiprojective spaces
L. Costa, R. M. Miró-Roig
We show that Horrock's criterion for the splitting of vector bundles on $\PP^n$ can be extended to vector bundles on multiprojective spaces and to smooth projective varieties with…
Some moduli spaces of -stable coherent systems on algebraic surfaces
L. Costa, I. MacÃas TarrÃo, L. Roa-Leguizamón
Let be a smooth, irreducible, projective algebraic surface, and let be a polynomial. In this paper, we determine topological and geometric properties…
Cooperation and Federation in Distributed Radar Point Cloud Processing
S. Savazzi, V. Rampa, S. Kianoush +2
The paper considers the problem of human-scale RF sensing utilizing a network of resource-constrained MIMO radars with low range-azimuth resolution. The radars operate in the mmWav…
Derived category of toric fibrations
L. Costa, S. Di Rocco, R. M. Miro-Roig
The derived category of bounded complexes of coherent sheaves is one of the most important algebraic invariants of a smooth projective variety. An important approach to understand…
Brill-Noether theory for moduli spaces of sheaves on algebraic varieties
L. Costa, R. M. Miró-Roig
Let be a smooth projective variety of dimension and let be an ample line bundle on . Let be the moduli space of -stable vector bundle…
Eclipse studies of the dwarf-nova Ex Draconis
R. Baptista, M. S. Catalan, L. Costa
We report on high speed photometry of EX Dra in quiescence and in outburst. The analysis of the lightcurves indicates that the outbursts do not start in the outer disc regions. The…
Clifford's Theorem for Coherent Systems on surfaces
L. Costa, I. MacÃas TarrÃo, L. Roa-Leguizamón
Let X be a smooth irreducible projective surface. The aim of this paper is to establish a version of Clifford's theorem for coherent systems on X.
Brill-Noether Theory of stable vector bundles on ruled surfaces
L. Costa, I. MacÃas TarrÃo
Let X be a ruled surface over a nonsingular curve C of genus . Let be the moduli space of H-stable rank 2 vector bundles E on X with fixed Chern c…
Frobenius splitting and Derived category of toric varieties
L. Costa, R. M. Miró-Roig
The splitting of the Frobenius direct image of line bundles on toric varieties is used to explicitly construct an orthogonal basis of line bundles in the derived category D^b(X) wh…
Ultracold Heteronuclear Fermi-Fermi Molecules
A. -C. Voigt, M. Taglieber, L. Costa +4
We report on the first creation of ultracold bosonic heteronuclear molecules of two fermionic species, 6Li and 40K, by a magnetic field sweep across an interspecies s-wave Feshbach…
Homogeneous Ulrich bundles on Flag manifolds
L. Costa, R. M. Miró-Roig
Let be a -vector space of dimension . In this paper, we focus our attention into the existence of irreducible homogeneous Ulrich bundles on flag manifolds $\FF(p, q,n)$…
$\GL(V)$-invariant Ulrich bundles on Grassmannians
L. Costa, R. M. Miró-Roig
In this paper, we give a full classification of all homogeneous Ulrich bundles on a Grassmannian $\Gr(k,n)$ of -planes on $\PP^n$.
Higher rank prioritary bundles on ruled surfaces and their global sections
L. Costa, I. MacÃas TarrÃo
Let be a ruled surface over a nonsingular curve of genus . The main goal of this paper is to construct simple prioritary vector bundles of any rank on and t…
Derived Category of Fibrations
L. Costa, S. Di Rocco, R. M. Miró-Roig
Let X ->Y be a Zariski locally trivial fibration of smooth complex projective varieties, with fiber F. We give a structure theorem for the derived category of X provided both F and…
Generalized Schmidt decomposition and classification of three-quantum-bit states
A. Acin, A. Andrianov, L. Costa +3
We prove for any pure three-quantum-bit state the existence of local bases which allow to build a set of five orthogonal product states in terms of which the state can be written i…
Rational families of instanton bundles on
L. Costa, N. Hoffmann, R. M. Miró-Roig +1
This paper is devoted to the theory of symplectic instanton bundles on an odd dimensional projective space with . We study the 't Hooft instanton bundl…