Fibers of rational maps and Rees algebras of their base ideals

Hoa Quang Tran, Phuong Vu Ngoc Ho

DOI: http://dx.doi.org/10.26459/hueuni-jns.v129i2A.5349

Abstract


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.

Keywords


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