5 papers
Cohomology and removable subsets
Alberto Saracco, Giuseppe Tomassini
Let X be a (connected and reduced) complex space. A q-collar of X is a bounded domain whose boundary is a union of a strongly q-pseudoconvex, a strongly q-pseudoncave and two flat…
Hyperbolicity in unbounded convex domains
Filippo Bracci, Alberto Saracco
We provide several equivalent characterizations of Kobayashi hyperbolicity in unbounded convex domains in terms of peak and anti-peak functions at infinity, affine lines, Bergman m…
Cohomology of semi 1-coronae and extension of analytic subsets
Alberto Saracco, Giuseppe Tomassini
We generalize some of the results in [arXiv: math.CV/0503430], and prove a bump-lemma for closed sets in semi 1-coronae. From this we obtain some finite cohomology results and an e…
Cohomology and extension problems for semi q-coronae
Alberto Saracco, Giuseppe Tomassini
We prove some extension theorems for analytic objects, in particular sections of a coherent sheaf, defined in semi q-coronae of a complex space. Semi q-coronae are domains whose bo…
Non compact boundaries of complex analytic varieties
Giuseppe Della Sala, Alberto Saracco
We treat the boundary problem for complex varieties (with isolated singularities) of dimension greater than one, which are contained in a suitable class of strictly pseudoconvex, u…