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

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

2004-10-06

arxiv.org/abs/math/0410133v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

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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