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arXiv · 1503.02275

Minimal rational curves on wonderful group compactifications

Michel Brion·Baohua Fu
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Abstract

Consider a simple algebraic group G of adjoint type, and its wonderful compactification X. We show that X admits a unique family of minimal rational curves, and we explicitly describe the subfamily consisting of curves through a general point. As an application, we show that X has the target rigidity property when G is not of type A_1 or C.

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Michel Brion, Baohua Fu. 2015-03-08. Minimal rational curves on wonderful group compactifications. https://arxiv.org/abs/1503.02275

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