Hirotachi Abo, Ph.D.

Selected Publications

• On the dimensions of secant varieties of Segre-Veronese varieties (together with Maria Chiara Brambilla), accepted for publication in Ann. Mat. Pura Appl.
• New examples of defective secant varieties of Segre-Veronese varieties (together with Maria Chiara Brambilla), accepted for publication in Collect. Math.
• Non-defectivity of Grassmanns of planes (together with Giorgio Ottaviani and Chris Peterson), accepted for publication in J. Algebraic Geom.
• On non-defectivity of certain Segre-Veronese varieties, J. Symbolic Comput. 45 (2010), 1254-1269.
• Secant varieties of Segre-Veronese varieties  P^m x Pⁿ  embedded by the morphism given by O(1,2) (together with Maria Chiara Brambilla), Experiment. Math. 18 (2009), 269-284.
• 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.
• Induction for secant varieties of Segre varieties (together with Giorgio Ottaviani and Chris Peterson), Trans. Amer. Math. Soc. 361 (2009), 767-792.

Awards and Honors