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The Class of the Bielliptic Locus in Genus 3
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0003-2598-4870
2015 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 12, 3943-3961 p.Article in journal (Refereed) Published
Abstract [en]

Let the bielliptic locus be the closure in the moduli space of stable curves of the locus of smooth curves that are double covers of genus 1 curves. In this paper, we compute the class of the bielliptic locus in (M) over bar (3) in terms of a standard basis of the rational Chow group of codimension-2 classes in the moduli space. Our method is to test the class on the hyperelliptic locus: this gives the desired result up to two free parameters, which are then determined by intersecting the locus with two surfaces in (M) over bar (3).

Place, publisher, year, edition, pages
2015. no 12, 3943-3961 p.
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URN: urn:nbn:se:kth:diva-171178DOI: 10.1093/imrn/rnu057ISI: 000356705300012OAI: diva2:842366

QC 20150720

Available from: 2015-07-20 Created: 2015-07-20 Last updated: 2015-07-20Bibliographically approved

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Faber, Carel
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