83 citations · 480 across the 45 of their papers we have counts for
48 papers
Two theorems on the vanishing of Ext
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi +2
We prove two theorems on the vanishing of Ext over commutative Noetherian local rings. Our first theorem shows that there are no Burch ideals which are rigid over non-regular local…
Dissipative Emergence of Inflation from Quasi-Cyclic Universe
Hiroki Matsui, Alexandros Papageorgiou, Fuminobu Takahashi +1
Inflationary models, especially those with plateau-type potentials, are consistent with the cosmological data, but inflation itself does not resolve the initial singularity. This s…
Dissipative Genesis of the Inflationary Universe
Hiroki Matsui, Alexandros Papageorgiou, Fuminobu Takahashi +1
We study an inflation model with a flat scalar potential supported by observations and find that slow-roll inflation can emerge after a quasi-cyclic phase of the Universe, where it…
Summing over Non-singular Paths in Quantum Cosmology
Hiroki Matsui
In this paper we provide the DeWitt propagator and its wave function in quantum cosmology using the path integral formulation of quantum gravity. The DeWitt boundary condition is i…
Inflationary -Attractor Models with Singular Derivative of Potential
Kei-ichiro Kubota, Hiroki Matsui, Takahiro Terada
A generalization of inflationary -attractor models (``polynomial -attractor'') was recently proposed by Kallosh and Linde, in which the potential involves logarithmic functio…
Triangular spectra and their applications to derived categories of noetherian schemes
Hiroki Matsui
In recent work, for a triangulated category $\cT$, the author introduced a topological space $\tSpec(\cT)$ which we call the triangular spectrum of $\cT$ as a tensor-free analog of…