48 citations · 138 across the 20 of their papers we have counts for
28 papers
Pseudo-Einstein Structures on Links of Isolated Singularities
Yoshinori Gongyo, Kengo Hirachi, Shuya Matsumoto +1
We study Jack Lee's conjecture that, for a compact strictly pseudoconvex CR manifold , the condition in implies the existence of a pseudo-E…
Non-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoids
Yoshinori Gongyo, Fumiharu Kato, Takayuki Uchiba
Let be a henselian pair such that is a domain of characteristic zero and . We prove that any flat affine henselian scheme of finite presentation over has…
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.
Nef anti-canonical divisors and rationally connected fibrations
Sho Ejiri, Yoshinori Gongyo
We study the Iitaka-Kodaira dimension of nef relative anti-canonical divisors. As a consequence, we prove that given a complex projective variety with klt singularities, if the ant…
Remarks on log Calabi--Yau structure of varieties admitting polarized endomorphism
Amaël Broustet, Yoshinori Gongyo
We discuss the Calabi--Yau type structure of normal projective surfaces and Mori dream spaces admitting a non-trivial polarized endomorphism.
Rational points on log Fano threefolds over a finite field
Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka
We prove the -rationality of klt threefolds and the rational chain connectedness of klt Fano threefolds over a perfect field of characteristic . As a consequence…
Versions of injectivity and extension theorems
Yoshinori Gongyo, Shin-ichi Matsumura
We give an analytic version of the injectivity theorem by using multiplier ideal sheaves, and prove some extension theorems for the adjoint bundle of dlt pairs. Moreover, by combin…
Uniform bounds for strongly -regular surfaces
Paolo Cascini, Yoshinori Gongyo, Karl Schwede
We show that if is a two dimensional Kawamata log terminal pair defined over an algebraically closed field of characteristic , and is sufficiently large, depending o…
On Rational Connectedness of Globally F-Regular Threefolds
Yoshinori Gongyo, Zhiyuan Li, Zsolt Patakfalvi +3
In this paper, we show that projective globally -regular threefolds, defined over an algebraically closed field of characteristic , are rationally chain connected.
On the anti-canonical ring and varieties of Fano type
Paolo Cascini, Yoshinori Gongyo
We study the anti-canonical ring of a projective variety and we characterise varieties of log Fano type depending on the singularities of these models.
Surfaces of globally -regular and -split type
Yoshinori Gongyo, Shunsuke Takagi
We prove that normal projective surfaces of dense globally -split type (resp. globally -regular type) are of Calabi-Yau type (resp. Fano type).
On log canonical rings
Osamu Fujino, Yoshinori Gongyo
We discuss the relationship among various conjectures in the minimal model theory including the finite generation conjecture of the log canonical rings and the abundance conjecture…
On the moduli b-divisors of lc-trivial fibrations
Osamu Fujino, Yoshinori Gongyo
Roughly speaking, by using the semi-stable minimal model program, we prove that the moduli part of an lc-trivial fibration coincides with that of a klt-trivial fibration induced by…
Characterization of varieties of Fano type via singularities of Cox rings
Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai +1
We show that every Mori dream space of globally -regular type is of Fano type. As an application, we give a characterization of varieties of Fano type in terms of the singularit…
On images of weak Fano manifolds II
Osamu Fujino, Yoshinori Gongyo
We consider a smooth projective surjective morphism between smooth complex projective varieties. We give a Hodge theoretic proof of the following well-known fact: If the anti-canon…
Remarks on the non-vanishing conjecture
Yoshinori Gongyo
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-vani…
Log pluricanonical representations and abundance conjecture
Osamu Fujino, Yoshinori Gongyo
We prove the finiteness of log pluricanonical representations for projective log canonical pairs with semi-ample log canonical divisor. As a corollary, we obtain that the log canon…
Reduction maps and minimal model theory
Yoshinori Gongyo, Brian Lehmann
We use reduction maps to study the minimal model program. Our main result is that the existence of a good minimal model for a klt pair can be detected on the base of the $(…
On the minimal model theory for dlt pairs of numerical log Kodaira dimension zero
Yoshinori Gongyo
We prove the existence of good log minimal models for dlt pairs of numerical log Kodaira dimension 0.