39 citations · 91 across the 17 of their papers we have counts for
20 papers
Fano's Last Fano
Marco Andreatta, Roberto Pignatelli
In 1949 Fano published his last paper on -folds with canonical sectional curves. There he constructed and described a -fold of the type in with…
Effective Adjunction Theory
Marco Andreatta, Claudio Fontanari
Here we investigate the property of effectivity for adjoint divisors. Among others, we prove the following results: (i) A normal projective variety with at most canonical singu…
Lifting Weighted Blow-ups
Marco Andreatta
Let f: X -> Z be a local, projective, divisorial contraction between normal varieties of dimension n with Q-factorial singularities. Let be a f-ample Cartier divisor…
Local Fano-Mori contractions of high nef-value
Marco Andreatta, Luca Tasin
Let be a variety with at most terminal -factorial singularities of dimension . We study local contractions supported by a -Cartier divisor o…
Fano-Mori contractions of high length on projective varieties with terminal singularities
Marco Andreatta, Luca Tasin
Let X be a projective variety with terminal singularities and let L be an ample Cartier divisor on X. We prove that if f is a birational contraction associated to an extremal ray $…
Minimal Model Program with scaling and adjunction theory
Marco Andreatta
Let (X,L) be a quasi polarized pairs, i.e. X is a normal complex projective variety and L is a nef and big line bundle on it. We study, up to birational equivalence, the positivity…