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Last Updated :2024/03/03

Yuji Sano

Faculty of Science
Professor

Researcher information

■ Degree
  • 博士(理学), 東京工業大学
■ Field Of Study
  • Natural sciences, Geometry, Geometry

Research activity information

■ Paper
  • Toric Fano manifolds of dimension at most eight with positive second Chern characters
    Yuji Sano; Hiroshi Sato; Yusuke Suyama
    Kumamoto J. Math, Apr. 2021, Refereed, Not invited
  • A polar dual to the momentum of toric Fano manifolds
    Yuji Sano
    Complex Manifolds, 2021, Refereed, Not invited
  • A moment map picture of relative balanced metrics on extremal Kahler manifolds
    Yuji Sano; Carl Tipler
    The Journal of Geometric Analysis, 20 Sep. 2020, Refereed, Not invited
  • Extremal metrics and lower bound of the modified K-energy
    Sano, Yuji; Tipler, Carl
    J. Eur. Math. Soc. (JEMS), 2015, Not refereed, Not invited
  • Lower diameter bounds for compact shrinking Ricci solitons
    Futaki, Akito; Sano, Yuji
    Asian J. Math., 2013, Not refereed, Not invited
  • Multiplier ideal sheaves and geometric problems
    Futaki, Akito; Sano, Yuji
    London Math. Soc. Lecture Note Ser., 2012, Not refereed, Not invited
  • Alpha invariant and K-stability of Q-Fano varieties
    Odaka, Yuji; Sano, Yuji
    Adv. Math., 2012, Not refereed, Not invited
  • Multiplier ideal sheaves and the Kähler-Ricci flow on toric Fano manifolds with large symmetry
    Comm. Anal. Geom., 2012, Not refereed, Not invited
  • An example of an asymptotically Chow unstable manifold with constant scalar curvature
    Ono, Hajime; Sano, Yuji; Yotsutani, Naoto
    Ann. Inst. Fourier, 2012, Not refereed, Not invited
  • Hilbert series and obstructions to asymptotic semistability
    Futaki, Akito; Ono, Hajime; Sano, Yuji
    Adv. Math., 2011, Not refereed, Not invited
  • Multiplier ideal sheaves and integral invariants on toric Fano manifolds
    Futaki, Akito; Sano, Yuji
    Math. Ann., 2011, Not refereed, Not invited
  • On the holomorphic invariants for generalized Kahler-Einstein metrics
    Kodai Math. J., 2008, Not refereed, Not invited
  • Numerical algorithm for finding balanced metrics
    Osaka J. Math, 2006, Not refereed, Not invited
  • The best constant of the Moser-Trudinger inequality on S^2
    Trans. Amer. Math. Soc., 2004, Not refereed, Not invited
  • On stability criterion of complete intersections
    J. Geom. Anal., 2004, Not refereed, Not invited
■ MISC
  • 端的ケーラー計量と相対的 balanced 計量について
    福岡大学微分幾何研究集会2016報告集, 01 Mar. 2017, Not refereed, Not invited
■ Books and other publications
  • 偏微分方程式とモジュライ問題
    佐野友二, Others
    サイエンス社, Jun. 2017, Not refereed
■ Lectures, oral presentations, etc.
  • A polar dual to the momentum of toric Fano manifolds
    Yuji Sano
    Global aspects of projective and Kahler geometry, 04 Jan. 2019, Invited
  • A combinatorial structure of toric Kahler-Einstein manifolds
    Yuji Sano
    Stabilities in Kahler geometry and related topics, 19 Dec. 2018, Invited
  • On a combinatorial aspect of toric Kahler-Einstein manifolds
    Yuji Sano
    4th China-Japan Geometry Conference, 07 Sep. 2018, Invited
  • A moment map for relative balanced metrics
    Yuji Sano
    3rd Japan-China Geometry Conference, 06 Sep. 2017, Invited
  • 端的ケーラー計量と相対balanced計量について
    佐野友二
    第64回幾何学シンポジウム, 30 Aug. 2017, Invited
  • 端的ケーラー計量とと相対balanced計量について
    佐野友二
    第64回幾何学シンポジウム, 30 Aug. 2017, Invited
  • 端的ケーラー計量と相対的 balanced 計量について
    佐野友二
    多変数函数論冬セミナー, 16 Dec. 2016, Invited
  • 端的ケーラー計量と相対的 balanced 計量について
    佐野友二
    福岡大学微分幾何研究集会2016, 03 Nov. 2016, Invited
■ Research Themes
  • ファノ多様体の極限の複素解析的手法による研究
    基盤研究(C)
    01 Apr. 2017 - 31 Mar. 2021
  • ケーラーアインシュタイン計量の双有理幾何学的研究
    若手研究(B)
    01 Apr. 2013 - 31 Mar. 2017
  • Existence problem of Kahler-Einstein metrics and Stability
    若手研究(B)
    01 Apr. 2010 - 31 Mar. 2013