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223 citations

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math.AG20085 cited

On a theorem of Faltings on formal functions

Paola Bonacini, Alessio del Padrone, Michele Nesci

In 1980, Faltings proved, by deep local algebra methods, a local result regarding formal functions which has the following global geometric fact as a consequence. Theorem: Let k be…

math.AG2007

Ample subvarieties and rationally connected fibrations

Mauro C. Beltrametti, Tommaso de Fernex, Antonio Lanteri

Under some positivity assumptions, extension properties of rationally connected fibrations from a submanifold to its ambient variety are studied. Given a family of rational curves…

math.AG2007

Thinning out redundant empirical data

John Abbott, Claudia Fassino, Maria-Laura Torrente

Given a set of "empirical" points, whose coordinates are perturbed by errors, we analyze whether it contains redundant information, that is whether some of its elements could b…

math.AG2007

Projective manifolds containing special curves

Lucian Badescu, Mauro C. Beltrametti

Let be a smooth curve embedded in a complex projective manifold of dimension with ample normal bundle . For every let denote the natural…

math.AG2007

On the normal bundle of submanifolds of

Lucian Badescu

Let be a submanifold of dimension of the complex projective space . We prove results of the following type. i) If is irregular and then the no…

math.AG20042 cited

Classification of Poisson surfaces

Claudio Bartocci, Emanuele Macr\`ı

We study complex projective surfaces admitting a Poisson structure. We prove a classification theorem and count how many independent Poisson structures there are on a given Poisson…