Fibers of rational maps and Rees algebras of their base ideals

Hoa Quang Tran, Phuong Vu Ngoc Ho



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.


approximation complexes; base ideals; fibers of rational maps; parameterizations; Rees algebras