Smoothings of Fano Varieties With Normal Crossing Singularities

DOI10.1017/S0013091515000024zbMath1331.14015arXiv1005.0531OpenAlexW2963968623MaRDI QIDQ2949796

Nikolaos Tziolas

Publication date: 2 October 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0531

zbMATH Keywords

Fano varietiesalgebraic geometrynormal crossingssmoothings

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Fano varieties (14J45) Formal methods and deformations in algebraic geometry (14D15)

Related Items (4)

Smoothing of semistable Fano varieties ⋮ Maximal log Fano manifolds are generalized Bott towers ⋮ On semistable degenerations of Fano varieties ⋮ Smoothing toroidal crossing spaces

Cites Work

• Toroidal embeddings. I
• Some examples of nonsmoothable varieties with normal crossings
• Global smoothings of degenerate Del Pezzo surfaces with normal crossings
• Smoothings of schemes with nonisolated singularities
• Global smoothings of varieties with normal crossings
• Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties
• Log smooth deformation theory
• Algebraic approximation of structures over complete local rings
• Deformations of Algebraic Schemes
• ℚ-Gorenstein deformations of nonnormal surfaces
• Note on Kodaira-Spencer's proof of Lefschetz theorems

This page was built for publication: Smoothings of Fano Varieties With Normal Crossing Singularities