Author
Francesco Malaspina
Other affiliations: University of Turin
Bio: Francesco Malaspina is an academic researcher from Polytechnic University of Turin. The author has contributed to research in topics: Vector bundle & Quadric. The author has an hindex of 10, co-authored 77 publications receiving 364 citations. Previous affiliations of Francesco Malaspina include University of Turin.
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TL;DR: In this paper, it was shown that the parameter space of isomorphism classes of indecomposable ACM bundles with fixed rank and determinant on a rational quartic scroll in P5P5 is either a single point or a projective line.
33 citations
TL;DR: In this paper, the authors give a definition of regularity on multiprojective spaces which is different from the definitions of Hoffman and Wang and Costa and Miro-Roig.
25 citations
TL;DR: In this paper, a del Pezzo threefold F with maximal Picard number is shown to be isomorphic to P 1 × p 1 × P 2 × P 3 × P 1.
22 citations
TL;DR: In this article, Costa and Miro-Roig introduced a notion of regularity for coherent sheaves on Grassmannians of lines and used this notion to prove some extension of Evans-Griffith criterion to characterize direct sums of line bundles.
22 citations
TL;DR: In this article, the authors classify locally free sheaves of rank 2 with vanishing intermediate cohomology modules on the image of the Segre embedding P 2 × P 2 ⊆ P 8 and its general hyperplane sections.
17 citations
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112 citations
TL;DR: In this paper, it was shown that a surface with pg(S, q(S) = 0 in ℙ4 of degree at least 4, Enriques surface and anticanonical rational surface supports stable Ulrich bundles of rank 2.
Abstract: Let S be a surface with pg(S) = q(S) = 0 and endowed with a very ample line bundle 𝒪S(h) such that h1(S,𝒪 S(h)) = 0. We show that S supports special (often stable) Ulrich bundles of rank 2, extending a recent result by A. Beauville. Moreover, we show that such an S supports families of dimension p of pairwise non-isomorphic, indecomposable, Ulrich bundles for arbitrary large p except for very few cases. We also show that the same is true for each linearly normal non-special surface with pg(S) = q(S) = 0 in ℙ4 of degree at least 4, Enriques surface and anticanonical rational surface.
45 citations
TL;DR: In this paper, it was shown that the parameter space of isomorphism classes of indecomposable ACM bundles with fixed rank and determinant on a rational quartic scroll in P5P5 is either a single point or a projective line.
33 citations
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TL;DR: In this article, the authors investigated M-theory compactifications on spaces with co-dimension four, orbifold singularities, and derived the Kahler potential, gauge-kinetic function and superpotential for the resulting N=1 four-dimensional theory, which is supersymmetric to leading non-trivial order in the 11-dim Newton constant.
Abstract: In this thesis, we explore two approaches to string phenomenology In the first half of the work, we investigate M-theory compactifications on spaces with co-dimension four, orbifold singularities We construct M-theory on C^2/Z_N by coupling 11-dimensional supergravity to a seven-dimensional Yang-Mills theory located on the orbifold fixed-plane The resulting action is supersymmetric to leading non-trivial order in the 11-dim Newton constant We thereby reduce M-theory on a G2 orbifold with C^2/Z_N singularities, explicitly incorporating the additional gauge fields at the singularities We derive the Kahler potential, gauge-kinetic function and superpotential for the resulting N=1 four-dimensional theory Blowing-up of the orbifold is described by a Higgs effect and the results are consistent with the corresponding ones obtained for smooth G2 spaces Further, we consider flux and Wilson lines on singular loci of the G2 space, and discuss the relation to N=4 SYM theory
In the second half, we develop an algorithmic framework for E8 x E8 heterotic compactifications with monad bundles We begin by considering cyclic Calabi-Yau manifolds where we classify positive monad bundles, prove stability, and compute the complete particle spectrum for all bundles Next, we generalize the construction to bundles on complete intersection Calabi-Yau manifolds We show that the class of positive monad bundles, subject to the heterotic anomaly condition, is finite (~7000 models) We compute the particle spectrum for these models and develop new techniques for computing the cohomology of line bundles There are no anti-generations of particles and the spectrum is manifestly moduli-dependent We further study the slope-stability of positive monad bundles and develop a new method for proving stability of SU(n) vector bundles
25 citations