 Preprints

Most secant varieties of tangential varieties to Veronese
varieties are nondefective (together with Nick Vannieuwenhoven), submitted. Available at [ arXiv:1510.02029 ].

Eigenschemes and the Jordan canonical form (together with
David Eklund, Thomas Kahle, and Chris Peterson), submitted. Available at [ arXiv:1510.02029 ].

Eigenconfigurations of tensors (together with Anna
Seigal, Bernd Sturmfels), submitted. Available at [ arXiv:1510.02029 ].
 Refereed Publications

Varieties of completely decomposable forms and their
secants, J. Algebra 403 (2014), 135153.

On Waring's problem for systems of skew symmetric forms
(together with Jia Wan), Linear Algebra Appl. 439 (2013), no. 8,
23302349.

On the dimensions of secant varieties of SegreVeronese varieties
(together with Maria Chiara Brambilla), Ann. Mat. Pura
Appl. (4) 192 (2013), no. 1, 6192.

New examples of defective secant varieties of SegreVeronese varieties
(together with Maria Chiara Brambilla), Collect. Math. 63 (2012), no. 3, 287297.
 Nondefectivity of Grassmanns of planes
(together with Giorgio Ottaviani and Chris Peterson),
J. Algebraic Geom. 21 (2012), 120.

On nondefectivity of certain SegreVeronese varieties,
J. Symbolic Comput. 45 (2010), 12541269.

Secant varieties of SegreVeronese varieties
P^{m} x P^{n }
embedded by the morphism given by O(1,2)
(together with Maria Chiara Brambilla), Experiment. Math.
18 (2009), 269284.
[ M2 scripts ].

Petersen plane arrangements and a surface with multiple
7secants
(together with Holger P. Kley and Chris Peterson), Adv. Geom. 9
(2009), no. 3, 349369.
[ M2 scripts ].
 Induction for secant varieties of Segre varieties
(together with Giorgio Ottaviani and Chris Peterson),
Trans. Amer. Math. Soc. 361 (2009), 767792.
 Implementation of Kumar's construction
(together with Chris Peterson), ISSAC 2006,
916, ACM, New York, 2006.
 Exterior algebra methods for the construction
of rational surfaces in projective fourspace
(together with FrankOlaf Schreyer),
Singularities and computer algebra, 112,
London Math. Soc. Lecture Note Ser., 324,
Cambridge Univ. Press, Cambridge, 2006.
 Stable rank three vector bundles on P^{4}
with Chern classes
(c_{1},c_{2},c_{3})=(2,4,0),
J. Pure Appl. Algebra 207 (2006), no. 2, 299317.
 Construction of rational surfaces of degree 12 in
projective fourspace
(together with Kristian Ranestad), J. Algebraic Geom. 15 (2006),
no. 2, 323338.
[ M2 scripts ]
 Irregular elliptic surfaces of degree 12 in projective
fourspace
(together with Kristian Ranestad), Math. Nachr. 278 (2005),
no.5, 511524.
 An elliptic conic bundle in P^{4}
arising from a stable rank3 vector bundle
(together with Wolfram Decker and Noboru Sasakura),
Math. Z. 229 (1998), no. 4, 725741
 Quadratic residue graph and Shioda elliptic modular surface
S(4)
(together with Noboru Sasakura and Tomohide Terasoma),
Tokyo J. Math. 19 (1996), no. 2, 263288
 NonRefereed Publications
 On the secant defectivity of SegreVeronese varieties,
to appear in Proceeding of the Algebraic Geometry Symposium
held at Waseda University, Japan, 2010,
[ pdf]
 On three conjectures about the secant defectivity of
classically studied varieties,
to appear in Proceeding of the Algebraic Geometry Symposium
held at Waseda University, Japan, 2010,
[ pdf]
 Surferを通して見た曲面 (Surfaces we look through the eyes of
Surfer), 数学セミナー (Sugaku Seminar) 588 (2010).
 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: November 09, 2015 by Hirotachi Abo
