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Kontsevich spaces of rational curves on Fano hypersurfaces by Riedl, Eric; Yang, David is a scholarly article available to read on EtoBox.

What is Kontsevich spaces of rational curves on Fano hypersurfaces about?

We investigate the spaces of rational curves on a general hypersurface. In particular, we show that for a general degree $d$ hypersurface in $\mathbb{P}^n$ with $n \geq d+2$, the space $\overline{\mathcal{M}_{0,0}}(X,e)$ of degree $e$ Kontsevich stable maps from a rational curve to $X$ is an irreducible local complete intersection stack of dimension $e(n-d+1)+n-4$.

Author

Riedl, Eric; Yang, David

Published

2014

Language

EN