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;
2014-01-01
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:
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