Shrinking gradient K\"ahler-Ricci solitons are simply-connected

Carlos Esparza

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arXiv · 2503.05838

Shrinking gradient K\"ahler-Ricci solitons are simply-connected

Carlos Esparza

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Abstract

We show that smooth polarized Fano fibrations have no nontrivial finite covers. Using results by Sun-Zhang and Wylie, it follows that shrinking K\"ahler-Ricci solitons are simply-connected.

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Carlos Esparza. 2025-03-06. Shrinking gradient K\"ahler-Ricci solitons are simply-connected. https://arxiv.org/abs/2503.05838

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