Results 31 to 40 of about 841 (78)

On the MMP for rank one foliations on threefolds

Forum of Mathematics, Pi
We prove existence of flips for log canonical foliated pairs of rank one on a ${\mathbb Q}$ -factorial projective klt threefold. This, in particular, provides a proof of the existence of a minimal model for a rank one foliation on a threefold for a
Paolo Cascini, Calum Spicer
doaj   +1 more source

On maximal Albanese dimensional varieties [PDF]

, 2009
We prove that every smooth projective variety with maximal Albanese dimension has a good minimal model.
Fujino, Osamu
core   +1 more source

Equivariant geometry of singular cubic threefolds

Forum of Mathematics, Sigma
We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang   +2 more
doaj   +1 more source

Discrepancies of $p$-cyclic quotient varieties [PDF]

, 2018
We consider the quotient variety associated to a linear representation of the cyclic group of order p in characteristic p>0. We estimate the minimal discrepancy of exceptional divisors over the singular locus.
Yasuda, Takehiko
core   +2 more sources

An extremal effective survey about extremal effective cycles in moduli spaces of curves

, 2017
We survey recent developments and open problems about extremal effective divisors and higher codimension cycles in moduli spaces of curves.Comment: Submitted to the Proceedings of the Abel Symposium 2017.
A-M Castravet, Ana-Maria Castravet, B Hassett, Brent Doran, D Chen, D Chen, D Chen, D Edidin, D Eisenbud, Dawei Chen, Dawei Chen, G Farkas, G Farkas, Gavril Farkas, Gavril Farkas, J González, J Harris, J Harris, J Harris, J Hausen, Luca Schaffler, M Opie, Robert Lazarsfeld, S Tan, Y Hu   +24 more
core   +1 more source

Optimal bounds in Bend-and-Break

Forum of Mathematics, Pi
We improve the Bend-and-Break result of Miyaoka and Mori by establishing the optimal degree bound. Our result also yields optimal bounds on lengths of extremal rays of log canonical pairs.
Eric Jovinelly, Brian Lehmann, Eric Riedl   +2 more
doaj   +1 more source

Remarks on the non-vanishing conjecture [PDF]

, 2012
We discuss a difference between the rational and the real non-vanishing conjecture for pseudo-effective log canonical divisors of log canonical pairs. We also show the log non-vanishing theorem for rationally connected varieties under assuming Shokurov's
Gongyo, Yoshinori
core  

Weak positivity via mixed Hodge modules

, 2014
We prove that the lowest nonzero piece in the Hodge filtration of a mixed Hodge module is always weakly positive in the sense of Viehweg.Comment: 9 ...
Schnell, Christian
core   +1 more source

On a question of Demailly-Peternell-Schneider

, 2012
This note aims to give an affirmative answer to an open question posed by Demailly-Peternell-Schneider [DPS] in 2001 and recently by Peternell [P] again.
Chen, Meng, Zhang, Qi
core   +1 more source

Pathological MMP singularities as αp-quotients

Forum of Mathematics, Sigma
We construct pathological examples of MMP singularities in every positive characteristic using quotients by $\alpha _p$ -actions. In particular, we obtain non- $S_3$ terminal singularities, as well as locally stable (respectively stable ...
Quentin Posva
doaj   +1 more source