Watanabe Kenta

Department of Liberal Arts and ScienceAssociate Professor

Research Keyword

  • Brill-Noether theory
  • vector bundle
  • algebraic curve
  • K3 surface, algebraic curve, vector bundle, Brill-Noether theory
  • polarized algebraic surface

Field Of Study

  • Natural sciences, Geometry, Geometry
  • Natural sciences, Algebra, Algebra

Career

  • Apr. 2013 - Mar. 2015
    Kindai University Faculty of Agriculture, Part-time Teacher
  • Apr. 2011 - Mar. 2015
    Center for Education in Liberal Arts and Sciences, Part-time Teacher
  • Apr. 2010 - Mar. 2015
    Graduate School of Sciences, Osaka University, Project Researcher

Educational Background

  • Apr. 2008 - Mar. 2010
    Osaka University, Graduate School of Science, Department of Mathematics
  • 01 Apr. 2006 - 31 Mar. 2008
    Osaka University, Graduate School of Science, Department of Mathematics
  • Apr. 2006 - Mar. 2008
    Osaka University, Graduate School of Science, Department of Mathematics
  • Apr. 2002 - Mar. 2006
    Hiroshima University, Faculty of Science, Department of Mathematics

Paper

  • Lifts of line bundles on curves on K3 surfaces
    Kenta Watanabe; Jiryo Komeda
    Abh. Math. Semin. Univ. Hambg, Apr. 2024, Refereed, Not invited
    Lead
  • On the classification of non-aCM curves on quintic surfaces in P3
    Kenta Watanabe
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Jun. 2023, Refereed
    Lead
  • New examples of Weierstrass semigroups associated with a double covering of a curve on a Hirzebruch surface of degree one
    Kenta Watanabe
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Feb. 2022, Refereed
    Lead
  • The characterization of aCM line bundles on quintic hypersurfaces in $$\mathbb {P}^3$$
    Kenta Watanabe
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Sep. 2021, Refereed, Not invited
    Lead
  • Lazarsfeld-Mukai Bundles of Rank 2 on a Polarized K3 Surface of Low Genus
    Kenta Watanabe
    Indian Journal of Pure and Applied Mathematics, Mar. 2020, Refereed
    Lead
  • ACM line bundles on polarized K3 surfaces
    Kenta Watanabe
    Geometriae Dedicata, Mar. 2019, Refereed, Not invited
    Lead
  • On the splitting of Lazarsfeld-Mukai bundles on K3 surface II
    Kenta Watanabe
    Jornal of Algebra, Jan. 2019, Refereed, Not invited
    Lead
  • A double covering of curves on a Hirzebruch surface of degree one and Weierstrass semigroups
    Kenta Watanabe
    Semigroup Forum, Sep. 2018, Refereed, Not invited
    Lead
  • Unstable Lazarsfeld-Mukai bundles of rank 2 on a certain K3 surface of Picard number 2
    Watanabe Kenta
    Advances in Algebra, Feb. 2018, Refereed, Not invited
    Lead
  • On the splitting of Lazarsfeld-Mukai bundles on K3 surfaces
    Kenta Watanabe
    JOURNAL OF ALGEBRA, Feb. 2016, Refereed, Not invited
  • On extensions of a double covering of plane curves and Weierstrass semigroups of the double covering type
    Jiryo Komeda; Kenta Watanabe
    SEMIGROUP FORUM, Oct. 2015, Refereed, Not invited
  • The Clifford index of line bundles on a 2-elementary K3 surface given by a double cover of a Del Pezzo surface
    Kenta Watanabe
    GEOMETRIAE DEDICATA, Jun. 2015, Refereed, Not invited
  • The classification of ACM line bundles on quartic hypersurfaces in P-3
    Kenta Watanabe
    GEOMETRIAE DEDICATA, Apr. 2015, Refereed, Not invited
  • An example of the Weierstrass semigroup of a pointed curve on K3 surfaces
    Kenta Watanabe
    SEMIGROUP FORUM, Apr. 2013, Refereed, Not invited
  • Donagi-Morrison's examples on 2-elementary K3 surfaces
    Kenta Watanabe
    ARCHIV DER MATHEMATIK, Feb. 2012, Refereed, Not invited
  • An example of a polarized K3 surface with elliptic free Clifford divisors
    Kenta Watanabe
    ARCHIV DER MATHEMATIK, Aug. 2011, Refereed, Not invited
  • A counterexample to a conjecture of complete fan
    Kenta Watanabe
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2008, Refereed, Not invited

MISC

  • ACM bundles of rank 2 on quartic hypersurfaces in P3 and Lazarsfeld-Mukai bundles
    Kenta Watanabe
    arXiv:2001.00199 [math.AG], Jan. 2020, Not refereed
    Lead

Lectures, oral presentations, etc.

  • Donagi–Morrison conjecture concerning lifts of line bundles on curves contained in a K3 surface and its applications
    Kenta Watanabe
    日本数学会 2024 年度会, Mar. 2024, Not invited
  • On aCM curves on quintic hypersurfaces in P3
    Kenta Watanabe
    The 19 th symposium on algebraic curves theory, Dec. 2021, Invited
  • ACM bundles of rank 2 on quartic hypersurfaces in P3 and Lazarsfeld-Mukai bundles
    Kenta Watanabe
    17 th symposium on algebraic curve theory, Dec. 2019, Invited
  • On the classification of ACM bundles of rank 2 on polarized K3 surfaces and Lazarsfeld-Mukai bundles
    農工大数学セミナー2019, Mar. 2019, Nobuo Hara, Invited
  • On the classification of rank two ACM bundles on quartic hypersurfaces in P^3
    Kenta Watanabe
    Splitting, construction and stability of vector bundles and their applications, Jun. 2018, Invited
  • ACM line bundles on polarized K3 surfaces
    Kenta Watanabe
    Mathematical Society of Japan, 2018, Mar. 2018, Not invited
  • A double covering of curves on a Hirzebruch surface of degree one and Weierstrass semigroups
    Kenta Watanabe
    第 15 回代数曲線論シンポジウム, Dec. 2017, Akira Ohbuchi, Jiryo Komeda, Invited
  • An example of a certain indecomposable Lazarsfeld-Mukai bundle
    Kenta Watanabe
    2017 Mathematical Society of Japan, Mar. 2017, Not invited
  • Mercat conjecture of rank 2 for curves on K3 surfaces of Picard rank one
    Kenta Watanabe
    Workshop on K3 surfaces and Enriques surfaces (4th), Oct. 2016, Invited
  • On the splitting of Lazarsfeld-Mukai bundles of rank 2 on K3 surfaces
    Kenta Watanabe
    第 3 回 K3 曲面・エンリケス曲面ワークショップ, Aug. 2015, 齋藤幸子・瀧真語, Invited
  • On the slope stability of Lazarsfeld-Mukai bundles of rank 2 on K3 surfaces and ACM line bundles
    Kenta Watanabe
    日本数学会 2015 年度会, Mar. 2015, Not invited
  • ACM bundles on K3 surfaces of genus 2
    Kenta Watanabe
    代数多様体とその周辺, Sep. 2014, Invited
  • ACM bundles on K3 surfaces of genus 2
    Kenta Watanabe
    第2回 K3 曲面・エンリケス曲面ワークショップ, Aug. 2014, 齋藤 幸子・瀧 真語, Invited
  • On the classification of ACM line bundles on quartic hypersurfaces in P^3 and application of it
    Kenta Watanabe
    日大(月曜)特異点セミナー, Jun. 2014, Invited
  • On the classification of ACM line bundles on quartic hypersurfaces in P^3
    Kenta Watanabe
    日本数学会 2014 年度会, Mar. 2014, Not invited
  • On the classification of ACM line bundles on quartic hypersurfaces in P^3 and application of it
    Kenta Watanabe
    第 6 回代数曲面ワークショップ at 秋葉原, Feb. 2014, Invited
  • The classification of ACM line bundles on quartic hypersurfaces on P^3
    Kenta Watanabe
    11 th algebraic curve theory symposium, Dec. 2013, Invited
  • On the classification of ACM line bundles on quartic hypersurfaces in P^3
    Kenta Watanabe
    Algebraic geometry kinosaki symposium 2013, Oct. 2013, Invited
  • On the Weierstrass semigroups of double covering type and double covering of plane curves
    Kenta Watanabe
    日本数学会 2013 秋季総合分科会, Sep. 2013, Not invited
  • On the characterization of arithmetically cohen macaulay line bundles on quartic hypersurfaces in P^3
    Kenta Watanabe
    第 1 回K3 曲面・エンリケス曲面ワークショップ, Aug. 2013, 瀧 真語・大橋久範, Invited
  • Clifford index of curves on a certain K3 surface given by a double covering of a DelPezzo surface
    Kenta Watanabe
    代数幾何学セミナー, May 2013, Invited
  • On the Weierstrass semigroups of pointed curves on K3 surfaces given by a double covering of a projective plane
    Kenta Watanabe
    第 10 回代数曲線論シンポジウム, Dec. 2012, Invited
  • The Clifford index of curves on a certain K3 surfaces given by a double covering of DelPezzo surfaces
    Kenta Watanabe
    広島大学代数学セミナー, Nov. 2012, Invited
  • Example of Weierstrass semigroups of double covering types
    Kenta Watanabe
    Algebraic geometry kinosaki symposium 2012, Oct. 2012, Invited
  • On the Weierstrass semigroups for pointed curves on a K3 surface of Picard number one
    Kenta Watanabe
    日本数学会 2012 秋季総合分科会, Sep. 2012, Not invited
  • On the Clifford index of curves on K3 surfaces given by double covering of DelPezzo surfaces
    Kenta Watanabe
    代数幾何学ミニワークショップ + おもしろ算数・数学講座, Feb. 2012, Invited
  • The Clifford index of curves on K3 surfaces given by double coverings of DelPezzo surfaces
    Kenta Watanabe
    第9回代数曲線論シンポジウム, Dec. 2011, Invited
  • The Clifford index of curves on 2-elementary K3 surfaces
    Kenta Watanabe
    Algebraic geometry kinosaki symposium 2011, Oct. 2011, Invited
  • On the Donagi-Morrison's examples on 2-elementary K3 surfaces
    Kenta Watanabe
    日本数学会 2011 秋季総合分科会, Sep. 2011, Not invited
  • On a polarized K3 surface which has an elliptic curve as a free Clifford divisor
    Kenta Watanabe
    第 8 回代数曲線論シンポジウム, Dec. 2010, Invited
  • A counterexample to a conjecture of complete fan
    Kenta Watanabe
    Algebraic geometry Kinosaki symposium 2008, Oct. 2010, Invited
  • On non-singular curves on elliptic K3 surfaces
    Kenta Watanabe
    日本数学会 2010 秋季総合分科会, Sep. 2010, Not invited
  • On the construction of a complete fan associated to the moduli space of polarized logarithmic Hodge structures
    Kenta Watanabe
    Algebraic geometry kinosaki symposium 2009, Oct. 2009, Invited

Courses

  • 線形代数学 A・B
    大阪大学工学部 (全学教育推進機構)
  • 数学 I (線形代数学・微分積分学)
    近畿大学農学部
  • 数学 II (確率・統計)
    近畿大学農学部

Affiliated academic society

  • Sep. 2009 - Present
    The Mathematical Society of Japan

Research Themes

  • Brill-Noeter theory for semi stable bundles on curves which are contained in a K3 surface and around the fields
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2016 - 31 Mar. 2019
    WATANABE Kenta; KOMEDA Jiryo
  • Theory of mixed log Hodge structures and its applications
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2011 - 31 Mar. 2016
    USUI Sampei; NAKAYAMA Chikara; KONNO Kazuhiro; ASHIKAGA Tadashi; FUJIKI Akira; OGUISO Keiji; TAKAHASHI Atsushi; OHNO Koji; WATANABE Kenta; KATO Kazuya
  • Applications of researches on automorhisms group of K3 surfaces to the curve theory
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Apr. 2013 - Mar. 2016
    Watanabe Kenta