Abstract
In this note we study Nikulin surfaces of genus 8 and their moduli. As typical at least in low genus, the family of surfaces to be investigated sits in a fascinating system of relations to other known geometric families. Our aim is to unveil one of these relations, namely that occurring between the moduli of Nikulin surfaces of genus 8 and the Hilbert scheme of rational sextic curves in the Grassmannian G(1, 4). We will work over an algebraically closed field k of characteristic zero.
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© 2016 Springer International Publishing Switzerland
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Verra, A. (2016). Geometry of Genus 8 Nikulin Surfaces and Rationality of their Moduli. In: Faber, C., Farkas, G., van der Geer, G. (eds) K3 Surfaces and Their Moduli. Progress in Mathematics, vol 315. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29959-4_13
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DOI: https://doi.org/10.1007/978-3-319-29959-4_13
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29958-7
Online ISBN: 978-3-319-29959-4
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