"Algebraic Number Theory and Related Topics 2014". December 1~5, 2014. edited by Takeshi Tsuji, Hiroki Takahashi and Yuichiro Hoshi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.This is a survey on the theory of log abelian varieties, which is a new formulation of degenerating abelian varieties in view of log geometry in the sense of Fontaine-Illusie
This thesis is concerned with some aspects of logarithmic geometry, with a focus on the infinite roo...
We define and study infinite root stacks of fine and saturated logarithmic schemes, a limit version ...
In this article we prove that the log Hodge de Rham spectral sequences of certain proper log smooth ...
2We introduce the notions log complex torus and log abelian variety over $\bC$, which are new form...
We extend the formalism of “log spaces” of Gillam and Molcho (Log differentiable spaces and manifold...
Dedicated to Professor Luc Illusie on his sixtieth birthday Abstract. We introduce the notions log c...
We globalize the derived version of the McKay correspondence of Bridgeland-King-Reid, proven by Kawa...
We define higher pro-Albanese functors for every effective log motive over a field k of characterist...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The...
We first construct compatible actions of the product of the unit interval and the unit circle as a m...
Let K be a field which is complete for a discrete valuation. We prove a logarithmic version of the N...
A classical problem in algebraic geometry is to construct smooth algebraic varieties with prescribed...
We develop a theory of abstract arithmetic Chow rings, where the role of the fibres at infinity is p...
In a joint work with Kazuya Kato and Chikara Nakayama, log higher Albanese manifolds were constructe...
This thesis is concerned with some aspects of logarithmic geometry, with a focus on the infinite roo...
We define and study infinite root stacks of fine and saturated logarithmic schemes, a limit version ...
In this article we prove that the log Hodge de Rham spectral sequences of certain proper log smooth ...
2We introduce the notions log complex torus and log abelian variety over $\bC$, which are new form...
We extend the formalism of “log spaces” of Gillam and Molcho (Log differentiable spaces and manifold...
Dedicated to Professor Luc Illusie on his sixtieth birthday Abstract. We introduce the notions log c...
We globalize the derived version of the McKay correspondence of Bridgeland-King-Reid, proven by Kawa...
We define higher pro-Albanese functors for every effective log motive over a field k of characterist...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The...
We first construct compatible actions of the product of the unit interval and the unit circle as a m...
Let K be a field which is complete for a discrete valuation. We prove a logarithmic version of the N...
A classical problem in algebraic geometry is to construct smooth algebraic varieties with prescribed...
We develop a theory of abstract arithmetic Chow rings, where the role of the fibres at infinity is p...
In a joint work with Kazuya Kato and Chikara Nakayama, log higher Albanese manifolds were constructe...
This thesis is concerned with some aspects of logarithmic geometry, with a focus on the infinite roo...
We define and study infinite root stacks of fine and saturated logarithmic schemes, a limit version ...
In this article we prove that the log Hodge de Rham spectral sequences of certain proper log smooth ...