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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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87 views

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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122 views

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 …