Special Issues

On blowup of secant varieties of curves

  • Received: 01 March 2021 Published: 22 July 2021
  • 14N07, 14C05

  • In this paper, we show that for a nonsingular projective curve and a positive integer $ k $, the $ k $-th secant bundle is the blowup of the $ k $-th secant variety along the $ (k-1) $-th secant variety. This answers a question raised in the recent paper of the authors on secant varieties of curves.

    Citation: Lawrence Ein, Wenbo Niu, Jinhyung Park. On blowup of secant varieties of curves[J]. Electronic Research Archive, 2021, 29(6): 3649-3654. doi: 10.3934/era.2021055

    Related Papers:

  • In this paper, we show that for a nonsingular projective curve and a positive integer $ k $, the $ k $-th secant bundle is the blowup of the $ k $-th secant variety along the $ (k-1) $-th secant variety. This answers a question raised in the recent paper of the authors on secant varieties of curves.



    加载中


    [1] A. Bertram, Moduli of rank-$2$ vector bundles, theta divisors, and the geometry of curves in projective space, J. Differential Geom., 35, (1992), 429–469.
    [2] Singularities and syzygies of secant varieties of nonsingular projective curves. Invent. Math. (2020) 222: 615-665.
    [3] Some results on secant varieties leading to a geometric flip construction. Compositio Math. (2001) 125: 263-282.
  • Reader Comments
  • © 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(697) PDF downloads(182) Cited by(0)

Article outline

Other Articles By Authors

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog