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Let $X$ be a smooth projective Fano variety over the complex numbers. We study the moduli space of rational curves on $X$ using the perspective of Manin’s conjecture. In particular,… Click to show full abstract
Let $X$ be a smooth projective Fano variety over the complex numbers. We study the moduli space of rational curves on $X$ using the perspective of Manin’s conjecture. In particular, we bound the dimension and number of components of spaces of rational curves on $X$ . We propose a geometric Manin’s conjecture predicting the growth rate of a counting function associated to the irreducible components of these moduli spaces.
Keywords:
rational curves;
conjecture rational;
manin conjecture;
geometric manin
Journal Title: Compositio Mathematica
Year Published: 2019
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Journal Title: Compositio Mathematica
Year Published: 2019
Link to full text (if available)
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recommendations!