Compactifications of Families of Curves
نویسنده
چکیده
of irreducible complex projective plane curves of degree n with d nodes and no other singularities. The problem is discussed in classical literature, as well as in [1, Sect. 1], [2, p. 219], [3, Sect. 2], etc. The naive compactification of Vn,d , namely V n,d ⊂ P N , has very complicated singularities. In particular, V n,d is not unibranch. One can construct a unibranch compactification as follows. For d ≥ 1, let
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