In this chapter we develop the basic properties of sets of points in (Formula Presented). We begin by describing the bihomogeneous ideal I(P) associated with a point (Formula Presented). We also discuss the connection between sets of points X in (Formula Presented) and special configurations of lines in (Formula Presented). Because (Formula Presented) is isomorphic to the ruled quadric surface in (Formula Presented), we can visualize a collection of points X as sitting within a grid of lines. After describing how to represent a set of points X in (Formula Presented), we extract some combinatorial information from this representation.

Points in (Formula Presented)

Guardo E.;Van Tuyl A.
2015-01-01

Abstract

In this chapter we develop the basic properties of sets of points in (Formula Presented). We begin by describing the bihomogeneous ideal I(P) associated with a point (Formula Presented). We also discuss the connection between sets of points X in (Formula Presented) and special configurations of lines in (Formula Presented). Because (Formula Presented) is isomorphic to the ruled quadric surface in (Formula Presented), we can visualize a collection of points X as sitting within a grid of lines. After describing how to represent a set of points X in (Formula Presented), we extract some combinatorial information from this representation.
2015
978-3-319-24164-7
978-3-319-24166-1
Combinatorial Information
Ferrers Diagram
Hilbert Function
Quadric Surface
Vertical Rules
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/522365
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