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Geometric Manin's Conjecture and rational curves by Lehmann, Brian; Tanimoto, Sho is a scholarly article available to read on EtoBox.

What is Geometric Manin's Conjecture and rational curves about?

Let $X$ be a smooth projective Fano variety over the complex numbers. We study the moduli spaces 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.

Author

Lehmann, Brian; Tanimoto, Sho

Published

2017

Language

EN