Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Cascini, Paolo"'
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 $F$-regular type.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/2410.03871
Autor:
Cascini, Paolo, Han, Jingjun, Liu, Jihao, Meng, Fanjun, Spicer, Calum, Svaldi, Roberto, Xie, Lingyao
For $\mathbb Q$-factorial klt algebraically integrable adjoint foliated structures, we prove the cone theorem, the contraction theorem, and the existence of flips. Therefore, we deduce the existence of the minimal model program for such structures. W
Externí odkaz:
http://arxiv.org/abs/2408.14258
Autor:
Cascini, Paolo, Spicer, Calum
We present an adjunction formula for foliations on varieties and we consider applications of the adjunction formula to the cone theorem for rank one foliations and the study of foliation singularities.
Comment: 36 pages. V2: exposition improved
Comment: 36 pages. V2: exposition improved
Externí odkaz:
http://arxiv.org/abs/2309.10697
Autor:
Cascini, Paolo, Chen, Hsin-Ku
Let X be a smooth threefold. We show that if $X_i\dashrightarrow X_{i+1}$ is a flip which appears in the $K_X$-MMP, then $c_1(X_i)^3-c_1(X_{i+1})^3$ is bounded by a constant depending only on $b_2(X)$.
Comment: Final version (to appear in IMRN)
Comment: Final version (to appear in IMRN)
Externí odkaz:
http://arxiv.org/abs/2306.16726
Autor:
Cascini, Paolo, Spicer, Calum
We show that termination of flips for $\mathbb Q$-factorial klt pairs in dimension $r$ implies existence of minimal models for algebraically integrable foliations of rank $r$ with log canonical singularities over a $\mathbb Q$-factorial klt projectiv
Externí odkaz:
http://arxiv.org/abs/2303.07528
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 pair with respect to a contraction, generalising the case of lc trivial
Externí odkaz:
http://arxiv.org/abs/2111.00423
Autor:
Cascini, Paolo, Spicer, Calum
We prove existence of flips and the base point free theorem for log canonical foliated pairs of rank one on a Q-factorial projective klt threefold. This, in particular, provides a proof of the existence of a minimal model for a rank one foliation on
Externí odkaz:
http://arxiv.org/abs/2012.11433
In dimension two, we reduce the classification problem for asymptotically log Fano pairs to the problem of determining generality conditions on certain blow-ups. In any dimension, we prove the rationality of the body of ample angles of an asymptotica
Externí odkaz:
http://arxiv.org/abs/2007.15595
Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2003.13206