Gröbner bases, triangulations, and Koszul algebras

In this chapter we investigate the algebraic data of toric ideals that correspond to regular subdivisions of the cones generated by affine monoids: monomials orders and initial ideals.Though the correspondence is not strong enough for unconditional implications in either direction, it yields powerfu...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Bruns, Winfried, Gubeladze, Joseph
Format:	Buchkapitel
Sprache:	eng
Schlagworte:	Algebra Algebraic geometry Algebraic topology Hilbert Series Initial Ideal Minimal Prime Ideal Polynomial Ring Toric Ideal
Online-Zugang:	Volltext
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