20 citations · 43 across the 8 of their papers we have counts for
11 papers
Triple solids and scrolls
Antonio Lanteri, Carla Novelli
Let be a smooth projective variety of dimension endowed with a finite morphism of degree , and suppose that , polarized by some ample lin…
Numerical tropical line bundles and toric b-divisors
Carla Novelli, Stefano Urbinati
We study the relationship between line bundles on tropical compactifications of a very affine variety and toric b-divisors on the associated tropical variety . B…
Fano varieties with small non-klt locus
Mauro C. Beltrametti, Andreas Höring, Carla Novelli
Let X be a Fano variety of index k such that the non-klt locus Nklt(X) is not empty. We prove that Nklt(X) has dimension at least k-1 and equality holds if and only if Nklt(X) is a…
Mori contractions of maximal length
Andreas Höring, Carla Novelli
We prove a relative version of the theorem of Cho, Miyaoka and Shepherd-Barron: a Mori fibre space of maximal length is birational to a projective bundle.
On Fano manifolds with an unsplit dominating family of rational curves
Carla Novelli
We study Fano manifolds admitting an unsplit dominating family of rational curves and we prove that the Generalized Mukai Conjecture holds if has pseudoindex $i_X = (\dim X…
Geometry of rays-positive manifolds
Mauro C. Beltrametti, Andreas Leopold Knutsen, Antonio Lanteri +1
Let M be a smooth complex projective variety and let L be a line bundle on it. Rays-positive manifolds, namely pairs (M,L) such that L is numerically effective and L\cdotR > 0 for…
Rational curves and bounds on the Picard number of Fano manifolds
Carla Novelli, Gianluca Occhetta
We prove that Generalized Mukai Conjecture holds for Fano manifolds of pseudoindex . We also give different proofs of the conjecture for Fano fourfolds a…
Manifolds covered by lines and extremal rays
Carla Novelli, Gianluca Occhetta
Let be a smooth complex projective variety and let $H \in \pic(X)$ be an ample line bundle. Assume that is covered by rational curves with degree one with respect to an…
Projective manifolds containing a large linear subspace with nef normal bundle
Carla Novelli, Gianluca Occhetta
We classify smooth complex projective varieties $X \subset \proj^N$ of dimension containing a linear subspace of dimension whose normal bundle is numerical…
Ruled Fano fivefolds of index two
Carla Novelli, Gianluca Occhetta
We classify Fano fivefolds of index two which are projectivization of rank two vector bundles over four dimensional manifolds.
On varieties which are uniruled by lines
A. L. Knutsen, C. Novelli, A. Sarti
Using the -minimal model program of uniruled varieties we show that for any pair consisting of a reduced and irreducible variety of dimension and a…