Rational curves on wonderful compactifications of symmetric varieties
Algebraic Geometry
2021-09-13 v1
Abstract
This work is a PhD thesis. First we provide some general context on wonderful varieties and moduli spaces of rational curves. Working over complex numbers we prove that the moduli space of rational curves with no marked points on the wonderful compactification of a symmetric space is not irreducible in general. Lastly we show that in the case of wonderful group compactifications the set of rational curves with no marked points and irreducible source is irreducible.
Keywords
Cite
@article{arxiv.2109.04964,
title = {Rational curves on wonderful compactifications of symmetric varieties},
author = {Arsen Shebzukhov},
journal= {arXiv preprint arXiv:2109.04964},
year = {2021}
}