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- Q6889798 subject Q8637546.
- Q6889798 abstract "In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of algebraic curves. It is thus a special case of a moduli space. Depending on the restrictions applied to the classes of algebraic curves considered, the corresponding moduli problem and the moduli space is different. One also distinguishes between fine and coarse moduli spaces for the same moduli problem.The most basic problem is that of moduli of smooth complete curves of a fixed genus. Over the field of complex numbers these correspond precisely to compact Riemann surfaces of the given genus, for which Bernhard Riemann proved the first results about moduli spaces, in particular their dimensions ("number of parameters on which the complex structure depends").".
- Q6889798 wikiPageExternalLink SHC_1960-1961__13_1_A4_0.pdf.
- Q6889798 wikiPageExternalLink modspacecurves.
- Q6889798 wikiPageExternalLink PMIHES_1969__36__75_0.pdf.
- Q6889798 wikiPageWikiLink Q1155772.
- Q6889798 wikiPageWikiLink Q11567.
- Q6889798 wikiPageWikiLink Q141488.
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- Q6889798 wikiPageWikiLink Q180969.
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- Q6889798 wikiPageWikiLink Q334045.
- Q6889798 wikiPageWikiLink Q381892.
- Q6889798 wikiPageWikiLink Q42299.
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- Q6889798 wikiPageWikiLink Q5156516.
- Q6889798 wikiPageWikiLink Q5385797.
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- Q6889798 wikiPageWikiLink Q7546425.
- Q6889798 wikiPageWikiLink Q7595945.
- Q6889798 wikiPageWikiLink Q8028565.
- Q6889798 wikiPageWikiLink Q845677.
- Q6889798 wikiPageWikiLink Q8637546.
- Q6889798 wikiPageWikiLink Q870797.
- Q6889798 comment "In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of algebraic curves. It is thus a special case of a moduli space. Depending on the restrictions applied to the classes of algebraic curves considered, the corresponding moduli problem and the moduli space is different.".
- Q6889798 label "Moduli of algebraic curves".