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arXiv · 1507.04442

K-Stability for Fano Manifolds with Torus Action of Complexity One

Nathan Ilten·Hendrik Süß
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Abstract

We consider Fano manifolds admitting an algebraic torus action with general orbit of codimension one. Using a recent result of Datar and Szekelyhidi, we effectively determine the existence of Kahler-Ricci solitons for those manifolds via the notion of equivariant K-stability. This allows us to give new examples of Kahler-Einstein Fano threefolds, and Fano threefolds admitting a non-trivial Kahler-Ricci soliton.

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BibTeXRIS

Nathan Ilten, Hendrik Süß. 2015-07-16. K-Stability for Fano Manifolds with Torus Action of Complexity One. https://doi.org/10.1215/00127094-3714864

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