Let F be a homogeneous polynomial in S=C[x0,…,xn]. Our goal is to understand a particular polynomial decomposition of F ; geometrically, we wish to determine when the hypersurface defined by F in P^n contains a star configuration. To solve this problem, we use techniques from commutative algebra and algebraic geometry to reduce our question to computing the rank of a matrix.

Star configuration on generic hypersurfaces

GUARDO, ELENA MARIA;
2014

Abstract

Let F be a homogeneous polynomial in S=C[x0,…,xn]. Our goal is to understand a particular polynomial decomposition of F ; geometrically, we wish to determine when the hypersurface defined by F in P^n contains a star configuration. To solve this problem, we use techniques from commutative algebra and algebraic geometry to reduce our question to computing the rank of a matrix.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/13696
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 23
  • ???jsp.display-item.citation.isi??? 23
social impact