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for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
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Differential of the evaluation map of the Kontsevich moduli space
Let $X$ be a smooth projective variety, and $\beta$ a curve class on it. We have the Kontsevich moduli space $\overline{\mathcal M}_g(X, \beta)$ of stable maps from genus $g$ curves to $X$ with class …
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Singularity of curves on very general surfaces
I want to ask if there is a known classification of possible singularities of curves on a general (or very general) surface in $\mathbb{P}^3$.
It was shown in Proposition 3 of "Subvarieties of general …