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- Alberto Alzati, Alfonso Tortora
- Journal of Mathematical Imaging and Vision
- 2010

In geometric computer vision the trifocal tensors are 3×3×3 tensors T by whose means three different camera views of the same scene are related to each other. In this paper we find two different sets of constraints, in the entries of T, that must be satisfied by trifocal tensors. The first set gives exactly the (closure of the) trifocal locus, i.e. all… (More)

A vanishing theorem for numerically connected divisors, first given by Bombieri for surfaces, is established in any dimension. A definition of k-connected divisors is proposed, then such divisors on threefolds are studied.

- Elisabetta Colombo, Gian Pietro Pirola, Alfonso Tortora
- 2000

Let X be a compact Kähler manifold, and let L be a line bundle on X. Define Ik(L) to be the kernel of the multiplication map Sym kH0(L) → H0(Lk). For all h ≤ k, we define a map ρ : Ik(L) → Hom(H (L),H(L)). When L = KX is the canonical bundle, the map ρ computes a second fundamental form associated to the deformations of X. If X = C is a curve, then ρ is a… (More)

Planning the rural environment is one of the most intriguing examples of technical challenge where a multi-disciplinary approach plays a crucial role. The agricultural production, both food and non-food, the social role of rural settlements, the state and diffusion of the infrastructural networks, the rural architectonic heritage that in many countries… (More)

We define the monomial invariants of a projective variety Z; they are invariants coming from the generic initial ideal of Z. Using this notion, we generalize a result of Cook [C]: If Z is an integral variety of codimension two, satisfying the additional hypothesis sZ = sΓ, then its monomial invariants are connected.

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