(Uni)rational parametrizations of \(\mathscr{R}_{g,2}\), \(\mathscr{R}_{g,4}\) and \(\mathscr{R}_{g,6}\) in low genera

(K3) surfaces and Enriques surfaces (14J28) Families, moduli of curves (algebraic) (14H10) Ramification problems in algebraic geometry (14E22) Rationality questions in algebraic geometry (14E08)

Cites Work

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\(\overline{\mathcal R}_{15}\) is of general type
Moduli of theta-characteristics via Nikulin surfaces
Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
Bielliptic curves of genus three: canonical models and moduli space.
Prym varieties and moduli of polarized Nikulin surfaces
Rationality of \(\mathcal{R}_2\) and \(\mathcal{R}_3\)
The moduli space of étale double covers of genus 5 curves is unirational
The Kodaira dimension of the moduli space of Prym varieties
Nikulin involutions on \(K3\) surfaces
The unirationality of \({\mathcal A}_ 5\).
The moduli space of genus four double covers of elliptic curves is rational
Mirror symmetry for lattice polarized \(K3\) surfaces
A characterization of bielliptic curves and applications to their moduli spaces
Generic Torelli theorem for Prym varieties of ramified coverings
HALF NIKULIN SURFACES AND MODULI OF PRYM CURVES
Projective models of K3 surfaces with an even set
On the universal abelian variety of dimension 4
THE RATIONALITY OF MODULI SPACES OF HYPERELLIPTIC CURVES
Theorie der Abel'schen Functionen.
Generic injectivity of the Prym map for double ramified coverings
The Rationality of the Moduli Space of Bielliptic Curves of Genus Five
Moduli of non-standard Nikulin surfaces in low genus
Global Prym-Torelli for double coverings ramified in at least six points
The homogeneous ideal of higher secant varieties
The birational geometry of \(\overline{\mathcal{R}}_{g, 2}\) and Prym-canonical divisorial strata
Double covers of curves on Nikulin surfaces

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