YOSHIDA, Tomoya

In 2009, Ghani, Hancock and Pattinson gave a tree-like representation of stream processors A[N] → B[N]. In 2021, Garner showed that this representation can be established in terms of algebraic theory and comodels: the set of infinite streams A[N] is the final comodel of the algebraic theory of A-valued input [T][A] and the set of stream processors ...

KISHIMOTO, Nobu TSUTSUMI, Yoshio

Dedicated to the memory of Professor Jean Ginibre / In this article, we consider the kinetic derivative nonlinear Schrödinger equation (KDNLS), which is a one-dimensional nonlinear Schrödinger equation with a cubic derivative nonlinear term containing the Hilbert transformation. For the Cauchy problem both on the real line and on the circle, we app...

HOSHI, Yuichiro TSUJIMURA, Shota

P. Deligne and D. Mumford proved that, for a smooth curve over the field of fractions of a discrete valuation ring whose residue field is perfect, if the associated Jacobian has stable reduction over the discrete valuation ring, then the smooth curve has stable reduction over the discrete valuation ring. Recently, I. Nagamachi proved a similar resu...

MINAMIDE, Arata SAWADA, Koichiro TSUJIMURA, Shota

In the present paper, we discuss certain generalizations on two anabelian group-theoretic properties --strong internal indecomposability and elasticity. More concretely, by replacing the normality conditions appearing in characterizations of strong internal indecomposability and elasticity by the subnormality conditions, we introduce the notions of...

HOSHI, Yuichiro TSUJIMURA, Shota

In the present paper, we discuss the injectivity of the natural homomorphism from the automorphism group of a given field to the outer automorphism group of the associated absolute Galois group. We prove that this natural homomorphism is injective in the case where, for instance, the given field may be embedded into the field of fractions of some N...

YAMAGUCHI, Kouki

The 3-loop polynomial of a knot is a polynomial presenting the 3-loop part of the Kontsevich invariant of knots. In this paper, we calculate the 3-loop polynomial of knots obtained by plumbing the doubles of two knots; this class of knots includes untwisted Whitehead doubles. We construct the 3-loop polynomial by calculating the rational version of...

田畑, 耕治 岸村, 遼 柳本, 武美

松坂, 俊輝

東浜, 有輝 柴山, 允瑠

本論文では，T×R上の面積保存ツィスト写像の不変曲線が，与えられた領域に存在しないための十分条件を与える．この十分条件を用いて，standardmapと，それに高周波の摂動項を加えた写像について不変曲線が存在しないような摂動パラメータに関する条件を求める．

JORDAN, Bruce W.

We define three different isogeny graphs of principally polarized superspecial abelian varieties, prove foundational results on them, and explain their role in number theory and geometry. This is background to joint work with Yevgeny Zaytman on properties of these isogeny graphs for dimension g > 1, especially the result that they are connected, bu...