Mathematics – Algebraic Geometry
Scientific paper
2012-04-02
Mathematics
Algebraic Geometry
17 pages
Scientific paper
Let $F$ be a homogeneous polynomial in $S = \mathbb{C}[x_0,...,x_n]$. Our goal is to understand a particular polynomial decomposition of $F$; geometrically, we wish to determine when the hypersurface defined by $F$ in $\mathbb{P}^n$ 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.
Carlini Enrico
Guardo Elena
Tuyl Adam Van
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