AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is log regular. And, these schemes allow one to generalize toric geometry to a theory that does not require a base field. This paper will extend this theory by removing normality requirements
We verify a special case of V. V. Shokurov\u27s conjecture about characterization of toric varieties...
AbstractWe generalize Friedman's notion of d-semistability, which is a necessary condition for space...
Abstract. In the present paper, we study category-theoretic properties ofmonomor-phisms in categorie...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
Abstract In this paper we will introduce a certain type of morphisms of log schemes (in the sense of...
The first purpose of this dissertation is to introduce and develop a theory of toric stacks which en...
Abstract. We characterize Kawamata log terminal singularities and log canonical singularities by dim...
2We introduce the notions log complex torus and log abelian variety over $\bC$, which are new form...
Dedicated to Professor Luc Illusie on his sixtieth birthday Abstract. We introduce the notions log c...
In this thesis we give a definition of the term logarithmically symplectic variety; to be precise, w...
Given a singular scheme X over a field k, we consider the problem of resolving the singularities of ...
We prove a conjecture of Shokurov which characterizes toric varieties using log pairs
We give a tropical description of the counting of real log curves in toric degenerations of toric va...
We introduce the notion of a relative log scheme with boundary: a morphism of log schemes together w...
Abstract We give a method to construct a partial embedded resolution of a nonnecessarily normal affi...
We verify a special case of V. V. Shokurov\u27s conjecture about characterization of toric varieties...
AbstractWe generalize Friedman's notion of d-semistability, which is a necessary condition for space...
Abstract. In the present paper, we study category-theoretic properties ofmonomor-phisms in categorie...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
Abstract In this paper we will introduce a certain type of morphisms of log schemes (in the sense of...
The first purpose of this dissertation is to introduce and develop a theory of toric stacks which en...
Abstract. We characterize Kawamata log terminal singularities and log canonical singularities by dim...
2We introduce the notions log complex torus and log abelian variety over $\bC$, which are new form...
Dedicated to Professor Luc Illusie on his sixtieth birthday Abstract. We introduce the notions log c...
In this thesis we give a definition of the term logarithmically symplectic variety; to be precise, w...
Given a singular scheme X over a field k, we consider the problem of resolving the singularities of ...
We prove a conjecture of Shokurov which characterizes toric varieties using log pairs
We give a tropical description of the counting of real log curves in toric degenerations of toric va...
We introduce the notion of a relative log scheme with boundary: a morphism of log schemes together w...
Abstract We give a method to construct a partial embedded resolution of a nonnecessarily normal affi...
We verify a special case of V. V. Shokurov\u27s conjecture about characterization of toric varieties...
AbstractWe generalize Friedman's notion of d-semistability, which is a necessary condition for space...
Abstract. In the present paper, we study category-theoretic properties ofmonomor-phisms in categorie...
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