Double total ramifications for curves of genus 2
classification
🧮 math.AG
keywords
curvesgenuslocimarkedmodulipointsspaceadmitting
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Inside the moduli space of curves of genus 2 with 2 marked points we consider the loci of curves admitting a map to P^1 of degree d totally ramified over the two marked points, for d>= 2. Such loci have codimension two. We compute the class of their compactifications in the moduli space of stable curves. Several results will be deduced from this computation.
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