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14 papers · 1 filter
A remark on the decomposition theorem for direct images of canonical sheaves tensorized with semipositive vector bundles
Taro Fujisawa
The purpose of this short note is to give a remark on the decomposition theorem for direct images of canonical sheaves tensorized with Nakano semipositive vector bundles. Although…
Zero mean curvature entire graphs of mixed type in Lorentz-Minkowski 3-space
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3
It is classically known that the only zero mean curvature entire graphs in the Euclidean 3-space are planes, by Bernstein's theorem. A surface in Lorentz-Minkowski 3-space $\boldsy…
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3
The Jorge-Meeks -noid () is a complete minimal surface of genus zero with catenoidal ends in the Euclidean 3-space , which has -rotation sy…
Mixed type surfaces with bounded mean curvature in 3-dimensional space-times
Atsufumi Honda, Miyuki Koiso, Masatoshi Kokubu +2
In this paper, we shall prove that space-like surfaces with bounded mean curvature functions in real analytic Lorentzian 3-manifolds can change their causality to time-like surface…
On Homeomorphically Irreducible Spanning Trees in Cubic Graphs
Arthur Hoffmann-Ostenhof, Kenta Noguchi, Kenta Ozeki
A spanning tree without a vertex of degree two is called a Hist which is an abbreviation for homeomorphically irreducible spanning tree. We provide a necessary condition for the ex…
The cyclotomic Iwasawa main conjecture for Hilbert cuspforms with complex multiplication
Takashi Hara, Tadashi Ochiai
We deduce the cyclotomic Iwasawa main conjecture for Hilbert modular cuspforms with complex multiplication from the multivariable main conjecture for CM number fields. To this end,…