'Curly' Z and I - Affine algebraic sets

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SUMMARY

The discussion centers on the notation for affine algebraic sets as presented in Dummit and Foote's text. Specifically, the "curly" Z notation represents a subset Z(S) of affine space, while the "curly" I denotes the unique largest ideal whose locus defines a particular algebraic set V. Participants seek assistance in using LaTeX to accurately produce these symbols, \(\mathcal{Z}\) and \(\mathcal{I}\). The conversation also references a sticky post on how to look up symbols for further guidance.

PREREQUISITES
  • Familiarity with affine algebraic sets and their properties.
  • Understanding of ideals in algebraic geometry.
  • Basic knowledge of LaTeX typesetting for mathematical notation.
  • Access to Dummit and Foote's "Abstract Algebra" for reference.
NEXT STEPS
  • Learn how to use LaTeX to create mathematical symbols, specifically \(\mathcal{Z}\) and \(\mathcal{I}\).
  • Study the properties of affine algebraic sets in Dummit and Foote's "Abstract Algebra".
  • Explore the concept of ideals in algebraic geometry and their applications.
  • Review the sticky post on mathhelpboards.com for additional LaTeX symbol resources.
USEFUL FOR

Mathematics students, algebraic geometers, and anyone interested in typesetting mathematical notation using LaTeX.

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I am reading Dummit and Foote on affine algebraic sets and wish to create posts referring to such objects.

The notation for a subset Z(S) of affine space is a "curly" Z - see attachment - bottom of page 658.

Also the notion for the unique largest ideal whose locus determines a particular algebraic set V is a 'curly' I - see attachment, third paragraph on page 660.

Can someone please help me to use Latex to produce these symbols.

Peter

[This has also been posted on MHF]
 
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\(\mathcal{Z}\)
\(\mathcal{I}\)

Also see the sticky on how to look up symbols.

Code: 
\mathcal{Z}
\mathcal{I}

http://mathhelpboards.com/latex-tips-tutorials-56/need-help-identifying-certain-latex-characters-5223.html
 
Thanks dwsmith, ... Appreciate your help

Peter
 

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