The Class of the Bielliptic Locus in Genus 3
2015 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 12, 3943-3961 p.Article in journal (Refereed) Published
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.
IdentifiersURN: urn:nbn:se:kth:diva-171178DOI: 10.1093/imrn/rnu057ISI: 000356705300012OAI: oai:DiVA.org:kth-171178DiVA: diva2:842366
QC 201507202015-07-202015-07-202015-07-20Bibliographically approved