UTokyo Repository カテゴリ: Graduate School of Mathematical SciencesGraduate School of Mathematical Scienceshttp://hdl.handle.net/2261/1532017-08-18T08:49:45Z2017-08-18T08:49:45ZUniformization of Cyclic Quotients of Multiplicative A-singularitiesSasaki, KenjiroTakamura, Shigeruhttp://hdl.handle.net/2261/726452017-06-30T15:11:09Z2016-06-24T00:00:00Zタイトル: Uniformization of Cyclic Quotients of Multiplicative A-singularities
著者: Sasaki, Kenjiro; Takamura, Shigeru
抄録: This work is motivated by the canonical model of degenerations of Riemann surfaces. For a quotient space Ad−1/Γ of a 'multiplicative'A-singularity Ad−1 in Cn+1 under a certain cyclic group action Γ on Ad−1, we explicitly construct a small finite abelian subgroup G of GL(n, C) such that Ad−1/Γ ∼= Cn/G. A resolution of Cn/G gives a decomposition of the monodromy (a higher-dimensional fractional Dehn twist) of a degeneration Ad−1/Γ → C into subtwists along the exceptional set (it seems that T. Ashikaga’s work on resolutions is related to this). Moreover: (1) We give a numerical criterion for a certain subgroup of GL(n,C) to be small. (2) For a certain family of subgroups of GL(n, C), we show that if one subgroup of this family is small, then all subgroups of this family are small (equi-smallness theorem).2016-06-24T00:00:00ZHorocycle flows without minimal setsMatsumoto, Shigenorihttp://hdl.handle.net/2261/726442017-06-30T15:11:07Z2016-06-24T00:00:00Zタイトル: Horocycle flows without minimal sets
著者: Matsumoto, Shigenori
抄録: We show that the horocycle flows of open tight hyperbolic surfaces do not admit minimal sets.2016-06-24T00:00:00ZErratum to "Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields"LEÓN-CARDENAL, E.ZÚÑIGA-GALINDO, W. A.http://hdl.handle.net/2261/726432017-06-30T15:11:05Z2016-06-24T00:00:00Zタイトル: Erratum to "Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields"
著者: LEÓN-CARDENAL, E.; ZÚÑIGA-GALINDO, W. A.2016-06-24T00:00:00ZHarmonic Analysis on the Positive Rationals II : Multiplicative Functions and Maass FormsElliott, Peter D. T. A.Kish, Jonathanhttp://hdl.handle.net/2261/726422017-06-30T15:11:03Z2016-06-24T00:00:00Zタイトル: Harmonic Analysis on the Positive Rationals II : Multiplicative Functions and Maass Forms
著者: Elliott, Peter D. T. A.; Kish, Jonathan
抄録: Estimates are given, via harmonic analysis on the positive rationals, for the value distribution of Fourier coefficients of automorphic cusp forms.2016-06-24T00:00:00Z