activity
20062025
most citedExistence of minimal models for varieties of log general type

93 citations · 127 across the 11 of their papers we have counts for

collaborators

13 papers

math.AG2025

Forms and Complex Manifolds

Cinzia Bisi, Paolo Cascini, Luca Tasin

We study the intersection form on the second cohomology group of a compact Kähler manifold of dimension . Although the structure of is relat…

math.AG2024

Threefolds of globally -regular type with nef anti-canonical divisor

Paolo Cascini, Tatsuro Kawakami, Shunsuke Takagi

As a special case of a conjecture by Schwede and Smith, we prove that a smooth complex projective threefold with nef anti-canonical divisor is weak Fano if it is of globally -re…

math.AG2021

Positivity of the Moduli Part

Florin Ambro, Paolo Cascini, Vyacheslav Shokurov +1

We prove the Cone Theorem for algebraically integrable foliations. As a consequence, we show that termination of flips implies the b-nefness of the moduli part of a log canonical p…

math.AG2020★ 1 cited

Subadditivity of Kodaira dimension does not hold in positive characteristic

Paolo Cascini, Sho Ejiri, János Kollár +1

Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.

math.AG2016★ 5 cited

Purely log terminal threefolds with non-normal centres in characteristic two

Paolo Cascini, Hiromu Tanaka

We show that many classical results of the minimal model programme do not hold over an algebraically closed field of characteristic two. Indeed, we construct a three dimensional pl…

math.AG2015

A remark on the Ueno-Campana's threefold

Cinzia Bisi, Paolo Cascini, Luca Tasin

We show that the Ueno-Campana's threefold cannot be obtained as the blow-up of any smooth threefold along a smooth centre, answering negatively a question raised by Oguiso and Truo…