Open AccessFibers of rational maps and Rees algebras of their base ideals
Author(s) -
Hoa Quang Tran,
Phuong Vu Ngoc Ho
Publication year - 2020
Publication title -
tạp chí khoa học đại học huế: khoa học tự nhiên/tạp chí khoa học đại học huế: khoa học tự nhiên (online)
Language(s) - English
Resource type - Journals
eISSN - 2615-9678
pISSN - 1859-1388
DOI - 10.26459/hueuni-jns.v129i2a.5349
Subject(s) - mathematics , pure mathematics , base (topology) , ideal (ethics) , projective test , projective space , space (punctuation) , variety (cybernetics) , projective variety , relation (database) , algebra over a field , mathematical analysis , computer science , philosophy , statistics , epistemology , operating system , database
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.