- Papers
-
On non-defectivity of certain Segre-Veronese varieties,
submitted.
[ pdf],
[ M2 scripts ].
- Non-defectivity of Grassmanns of planes
(together with Giorgio Ottaviani and Chris Peterson), accepted
for publication in J. Algebraic Geom.
[ pdf].
-
Secant varieties of Segre-Veronese varieties
Pm x Pn
embedded by the morphism given by O(1,2)
(together with Maria Chiara Brambilla), accepted for publication
in Experiment. Math.
[ pdf],
[ M2 scripts ].
-
Petersen plane arrangements and a surface with multiple
7-secants
(together with Holger P. Kley and Chris Peterson), Adv. Geom. 9
(2009), no. 3, 349-369.
[ M2 scripts ].
- Induction for secant varieties of Segre varieties
(together with Giorgio Ottaviani and Chris Peterson),
Trans. Amer. Math. Soc. 361 (2009), 767-729.
- 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: August 19 2009 by Hirotachi Abo
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