On irreducibility of the family of ACM curves of degree 8 and genus 4 in $P^4_k$

arxiv: math/0410133 · v1 · submitted 2004-10-06 · 🧮 math.AG

On irreducibility of the family of ACM curves of degree 8 and genus 4 in P⁴_k

Elena Drozd This is my paper

classification 🧮 math.AG

keywords curvesdegreefamilygenusarithmeticarithmeticallycohen-macaulaycurve

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Let C be an arithmetically Cohen-Macaulay curve of arithmetic genus 4. We prove that the family of such curves of degree 8 in $P^4_k$ is irreducible.

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