TY - JOUR
T1 - The reflexivity of a Segre product of projective varieties
AU - Fukasawa, Satoru
AU - Kaji, Hajime
PY - 2008/10/1
Y1 - 2008/10/1
N2 - We study the reflexivity of a Segre product of a projective space ℙm and a projective variety Y, and give a criterion for ℙm × Y to be reflexive in terms of m, the dimension of Y, the rank of the general Hessian of Y and the characteristic of the ground field. Our study is closely related to a question raised by Kleiman and Piene on the relationship between the conormal map and the Gauss map.
AB - We study the reflexivity of a Segre product of a projective space ℙm and a projective variety Y, and give a criterion for ℙm × Y to be reflexive in terms of m, the dimension of Y, the rank of the general Hessian of Y and the characteristic of the ground field. Our study is closely related to a question raised by Kleiman and Piene on the relationship between the conormal map and the Gauss map.
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U2 - 10.1007/s00208-008-0233-4
DO - 10.1007/s00208-008-0233-4
M3 - Article
AN - SCOPUS:48349112629
SN - 0025-5831
VL - 342
SP - 279
EP - 289
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 2
ER -