Open AccessOn blowup of secant varieties of curves
Author(s) -
Lawrence Ein,
Wenbo Niu,
Jinhyung Park
Publication year - 2021
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2021055
Subject(s) - mathematics , invertible matrix , variety (cybernetics) , pure mathematics , statistics
In this paper, we show that for a nonsingular projective curve and a positive integer \begin{document}$ k $\end{document} , the \begin{document}$ k $\end{document} -th secant bundle is the blowup of the \begin{document}$ k $\end{document} -th secant variety along the \begin{document}$ (k-1) $\end{document} -th secant variety. This answers a question raised in the recent paper of the authors on secant varieties of curves.