Add to ORKGAbstract. It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive ε there is a positive δ such that if X is ε-log terminal, then Y is δ-log terminal. We prove this conjecture in the toric case and discuss the dependence of δ on ε, which seems mysterious
We first construct compatible actions of the product of the unit interval and the unit circle as a m...
This article is a generalization of the author's work [U] to the case of several variables. We first...
A. Borisov classified into finitely many series the set of isomorphism classes of germs of toric $\Q...
We treat equivariant completions of toric contraction morphisms as an application of the toric Mori ...
Abstract. We construct an example of global toric 3-dimensional terminal ops that has interesting pr...
We give a tropical description of the counting of real log curves in toric degenerations of toric va...
We verify a special case of V. V. Shokurov\u27s conjecture about characterization of toric varieties...
In this thesis, we obtain sufficient conditions for terminality of toric varieties of arbitrary dime...
Minimal log discrepancies (mld’s) are related not only to termina-tion of log flips [22], and thus t...
We prove a conjecture of Shokurov which characterizes toric varieties using log pairs
We study log Calabi-Yau varieties obtained as a blow-up of a toric variety along hypersurfaces in it...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
We establish a correspondence between the disk invariants of a smooth toric Calabi-Yau 3-fold $X$ wi...
Maulik and Ranganathan have recently introduced moduli spaces of logarithmic stable pairs. We examin...
Abstract. In this short note, we treat the log MMP without the assumption that the variety is Q-fact...
We first construct compatible actions of the product of the unit interval and the unit circle as a m...
This article is a generalization of the author's work [U] to the case of several variables. We first...
A. Borisov classified into finitely many series the set of isomorphism classes of germs of toric $\Q...
We treat equivariant completions of toric contraction morphisms as an application of the toric Mori ...
Abstract. We construct an example of global toric 3-dimensional terminal ops that has interesting pr...
We give a tropical description of the counting of real log curves in toric degenerations of toric va...
We verify a special case of V. V. Shokurov\u27s conjecture about characterization of toric varieties...
In this thesis, we obtain sufficient conditions for terminality of toric varieties of arbitrary dime...
Minimal log discrepancies (mld’s) are related not only to termina-tion of log flips [22], and thus t...
We prove a conjecture of Shokurov which characterizes toric varieties using log pairs
We study log Calabi-Yau varieties obtained as a blow-up of a toric variety along hypersurfaces in it...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
We establish a correspondence between the disk invariants of a smooth toric Calabi-Yau 3-fold $X$ wi...
Maulik and Ranganathan have recently introduced moduli spaces of logarithmic stable pairs. We examin...
Abstract. In this short note, we treat the log MMP without the assumption that the variety is Q-fact...
We first construct compatible actions of the product of the unit interval and the unit circle as a m...
This article is a generalization of the author's work [U] to the case of several variables. We first...
A. Borisov classified into finitely many series the set of isomorphism classes of germs of toric $\Q...