8 citations · 16 across the 4 of their papers we have counts for
6 papers
Augmented base loci and restricted volumes on normal varieties, II: The case of real divisors
Angelo Felice Lopez
Let be a normal projective variety defined over an algebraically closed field and let be a subvariety. Let be an -Cartier -divisor on . Given a…
Augmented base loci and restricted volumes on normal varieties
Sébastien Boucksom, Salvatore Cacciola, Angelo Felice Lopez
We extend to normal projective varieties defined over an arbitrary algebraically closed field a result of Ein, Lazarsfeld, Mustaţă, Nakamaye and Popa characterizing the augmented b…
Moriwaki divisors and the augmented base loci of divisors on the moduli space of curves
Salvatore Cacciola, Angelo Felice Lopez, Filippo Viviani
We study the cone of Moriwaki divisors on \bar{M}_g by means of augmented base loci. Using a result of Moriwaki, we prove that an R-divisor D satisfies the strict Moriwaki inequali…
Nakamaye's theorem on log canonical pairs
Salvatore Cacciola, Angelo Felice Lopez
We generalize Nakamaye's description, via intersection theory, of the augmented base locus of a big and nef divisor on a normal pair with log-canonical singularities or, more gener…
Asymptotic base loci on singular varieties
Salvatore Cacciola, Lorenzo Di Biagio
We prove that the non-nef locus and the restricted base locus of a pseudoeffective divisor coincide on KLT pairs. We also extend to KLT pairs F. Russo's characterization of nef and…
On the semiampleness of the positive part of CKM Zariski decompositions
Salvatore Cacciola
We study graded rings associated to big divisors on LC pairs whose difference with the log-canonical divisor is nef. For divisors that are positive enough at the LC centers of the…