Moduli Spaces and Invariant Theory

Moduli Spaces and Invariant Theory. Tevelev, J.
abstract bibtex

A moduli space is a space that parametrizes geometric objects. For example, elliptic curves are classiﬁed by the so-called J-invariant, so the moduli space of elliptic curves is a line (with coordinate J). More generally, there exists a moduli space, called Mg, which parametries all projective algebraic curves of genus g (equivalently, all compact Riemann surfaces of genus g). The Jacobian of a Riemann surface is a moduli space that classiﬁes line bundles on a ﬁxed Riemann surface.

@article{tevelev_moduli_nodate,
	title = {Moduli {Spaces} and {Invariant} {Theory}},
	abstract = {A moduli space is a space that parametrizes geometric objects. For example, elliptic curves are classiﬁed by the so-called J-invariant, so the moduli space of elliptic curves is a line (with coordinate J). More generally, there exists a moduli space, called Mg, which parametries all projective algebraic curves of genus g (equivalently, all compact Riemann surfaces of genus g). The Jacobian of a Riemann surface is a moduli space that classiﬁes line bundles on a ﬁxed Riemann surface.},
	language = {en},
	author = {Tevelev, Jenia},
	pages = {93}
}

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