I‑AIMS Institute for Artificial Intelligence
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Degree 4 coverings of elliptic curves by genus 2 curves

Tanush Shaska, G. S. Wijesiri, S. Wolf, L. Woodland

I-AIMS paper 2008-1 · Published in Albanian J. Math. 2 (2008), 307–318 · 2008

Genus two curves covering elliptic curves have been the object of study of many articles. For a fixed degree n the subloci of the moduli space ℳ₂ of curves having a degree n elliptic subcover has been computed for n = 3, 5 and discussed in detail for n odd. When the degree of the cover is even the case in general has been treated earlier. In this paper we compute the sublocus of ℳ₂ of curves having a degree 4 elliptic subcover.

MSC classes: Primary 14H45; Secondary 14H30

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