Fibers of rational maps and Rees algebras of their base ideals

Fibers of rational maps and Rees algebras of their base ideals

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 bas...

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Veröffentlicht in:Tạp chí khoa học. Chuyên san khoa học tự nhiên 2020-06, Vol.129 (1B), p.5-14
Hauptverfasser: Hoa, Tran Quang, Ngoc Phuong, Ho Vu
Format: Artikel
Sprache:eng
Schlagworte:
approximation complexes
base ideals
fibers of rational maps
parameterizations
rees algebras
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Zusammenfassung: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.
ISSN:1859-1388
2615-9678
DOI:10.26459/hueuni-jns.v129i1B.5349