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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