8 papers
On twisted Kawamata's semi-positivity and finite generation of generalized canonical rings
Yoshinori Gongyo, Shigeharu Takayama
We give a twisted version of the Kawamata semi-positivity theorem by the -line bundle with a vanishing Lelong number at every point. Moreover, we apply the result to th…
Effective non-vanishing and Mukai type conjecture
Yoshinori Gongyo
We introduce some invariants of Fano varieties and propose a Mukai-type conjecture which characterizes the product of projective spaces. Moreover, we prove that the Ambro--Kawamata…
Generalized complexity of surfaces
Yoshinori Gongyo, Joaquín Moraga
In this article, we introduce the generalized complexity of a generalized Calabi--Yau pair . This invariant compares the dimension of and Picard rank of w…
On generalized minimal log discrepancy
Weichung Chen, Yoshinori Gongyo, Yusuke Nakamura
We discuss the ACC conjecture and the LSC conjecture for minimal log discrepancies of generalized pairs. We prove that some known results on these two conjectures for usual pairs a…
On a generalized Batyrev's cone conjecture
Sung Rak Choi, Yoshinori Gongyo
We discuss some variants of cone theorem for movable curves in any codimensions.
Kollár's injectivity theorem for globally -regular varieties
Yoshinori Gongyo, Shunsuke Takagi
We prove Kollár's injectivity theorem for globally -regular varieties.