Archivio Istituzionale della RicercaLet 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 Pn 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 configurations on generic hypersurfaces / Carlini, Enrico; Guardo, E.; Van Tuyl, A.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 407:1(2014), pp. 1-20. [10.1016/j.jalgebra.2014.02.013]
Star configurations on generic hypersurfaces
CARLINI, ENRICO;
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 Pn 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
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https://hdl.handle.net/11583/2580172
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