Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds

Publikation: Working paper/Preprint Working paperForskning

Abstract

We exhibit the first non-trivial concrete examples of Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds in all complex dimensions bigger than two (Fano K-moduli spaces). We also discuss potential applications to explicit study of moduli spaces of K-stable Fano manifolds with large anti-canonical volume. Our arguments are based on recent progress about the geometry of metric tangent cones and on related ideas about the algebro-geometric study of singularities of K-stable Fano varieties.
OriginalsprogEngelsk
UdgiverArXiv
Vol/bind13
Sider477-515
Antal sider39
StatusUdgivet - 30 apr. 2017

Emneord

  • math.DG
  • math.AG

Fingeraftryk

Dyk ned i forskningsemnerne om 'Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds'. Sammen danner de et unikt fingeraftryk.

Citationsformater