5 papers
Classification of Fano 4-folds with Lefschetz defect 3 and Picard number 5
Cinzia Casagrande, Eleonora A. Romano
Let X be a smooth, complex Fano 4-fold, and rho(X) its Picard number. If X contains a prime divisor D with rho(X)-rho(D)>2, then either X is a product of del Pezzo surfaces, or rho…
On some Fano 4-folds with Lefschetz defect 3
Eleonora Anna Romano
We show that Fano 4-folds with Picard number 5 have Lefschetz defect 3 if and only if they are toric of combinatorial type K. We also find a characterization for such varieties in…
A note on flatness of some fiber type contractions
Eleonora Anna Romano
We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one…
Adjunction for varieties with a action
Eleonora A. Romano, Jarosław A. Wiśniewski
Let be a complex projective manifold, an ample line bundle on , and assume that we have a action on . We classify such triples …
Positivity of anticanonical divisors from the viewpoint of Fano conic bundles
Eleonora Anna Romano
We give the first examples of flat fiber type contractions of Fano manifolds onto varieties that are not weak Fano, and we prove that these morphisms are Fano conic bundles. We als…