Fibers of rational maps and Rees algebras of their base ideals
Tập 129 Số 1B (2020), Nghiên cứu
Tập 129 Số 1B (2020)

Fibers of rational maps and Rees algebras of their base ideals

Nghiên cứu
https://doi.org/10.26459/hueuni-jns.v129i1B.5349
Đã xuất bản 2020-06-22
Tran Quang Hoa
University of Education, Hue University, 34 Le Loi St., Hue, Vietnam
Ho Vu Ngoc Phuong
University of Sciences, Hue University, 77 Nguyen Hue St., Hue, Vietnam

Tóm tắt

We consider a ratinonal map $\phi$ from m-dimensional projective space to n-dimensional projective space that is a parameterization of m-dimensional variety. Our main goal is to study the (m-1)-dimensional fibers of $\phi$ in relation with the m-th local cohomology modules of Rees algebra of its base ideal.
https://doi.org/10.26459/hueuni-jns.v129i1B.5349
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