Toric fiber products versus Segre products

@article{Kahle2014ToricFP,
  title={Toric fiber products versus Segre products},
  author={Thomas Kahle and Johannes Rauh},
  journal={Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg},
  year={2014},
  volume={84},
  pages={187-201}
}
  • Thomas Kahle, Johannes Rauh
  • Published 2014
  • Mathematics
  • Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
  • The toric fiber product is an operation that combines two ideals that are homogeneous with respect to a grading by an affine monoid. The Segre product is a related construction that combines two multigraded rings. The quotient ring by a toric fiber product of two ideals is a subring of the Segre product, but in general this inclusion is strict. We contrast the two constructions and show that any Segre product can be presented as a toric fiber product without changing the involved quotient rings… CONTINUE READING

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