• Papers
  • Secant varieties of Segre-Veronese varieties P^m x Pⁿ embedded by the morphism given by O(1,2) (together with Maria Chiara Brambilla). [ pdf], [ M2 scripts ].

  • Petersen plane arrangements and a surface with multiple 7-secants (together with Holger P. Kley and Chris Peterson). [ pdf], [ M2 scripts ].

  • Induction for secant varieties of Segre varieties (together with Giorgio Ottaviani and Chris Peterson), to appear in Trans. AMS. Avilable from the arXiv server as math.AG/0607191.

  • Implementation of Kumar's construction (together with Chris Peterson), ISSAC 2006, 9--16, ACM, New York, 2006.

  • Exterior algebra methods for the construction of rational surfaces in projective fourspace (together with Frank-Olaf Schreyer), Singularities and computer algebra, 1-12, London Math. Soc. Lecture Note Ser., 324, Cambridge Univ. Press, Cambridge, 2006.

  • Stable rank three vector bundles on P⁴ with Chern classes (c₁,c₂,c₃)=(-2,4,0), J. Pure Appl. Algebra 207 (2006), no. 2, 299-317.

  • Construction of rational surfaces of degree 12 in projective fourspace (together with Kristian Ranestad), J. Algebraic Geom. 15 (2006), no. 2, 323-338. [ M2 scripts ]

  • Irregular elliptic surfaces of degree 12 in projective fourspace (together with Kristian Ranestad) Math. Nachr. 278 (2005), no.5, 511-524.

  • An elliptic conic bundle in P⁴ arising from a stable rank-3 vector bundle (together with Wolfram Decker and Noboru Sasakura) Math. Z. 229 (1998), no. 4, 725-741

  • Quadratic residue graph and Shioda elliptic modular surface S(4) (together with Noboru Sasakura and Tomohide Terasoma), Tokyo J. Math. 19 (1996), no. 2, 263-288

• Theses

  • Rank two and rank three vector bundle on the projective fourspace, Ph D Thesis, Saarland University 2002

  • A projective model of the Shioda modular surface of level 4, Master thesis, Tokyo Metropolitan University 1995

Last Updated: June 25 2007 by Hirotachi Abo