Gluing construction of compact complex surfaces with trivial canonical bundle

DOI10.2969/JMSJ/06130853zbMath1178.32013OpenAlexW2051232392MaRDI QIDQ841227

Mamoru Doi

Publication date: 15 September 2009

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

Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/61/3/61_853/_article

zbMATH Keywords

gluing constructioncompact complex surfaceanticanonical divisortrivial canonical divisor

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Other complex differential geometry (53C56) Compact complex surfaces (32J15) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (3)

Differential geometric global smoothings of simple normal crossing complex surfaces with trivial canonical bundle ⋮ Doubling construction of Calabi-Yau fourfolds from toric Fano fourfolds ⋮ Gluing construction of compact \(\mathrm{Spin}(7)\)-manifolds

Cites Work

• Global smoothings of varieties with normal crossings
• Self-dual conformal structures on \(\mathbb{C} \mathbb{P}^ 2\)
• The existence of anti-self-dual conformal structures
• Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties
• Twisted connected sums and special Riemannian holonomy
• MODULI SPACES OF TOPOLOGICAL CALIBRATIONS, CALABI–YAU, HYPERKÄHLER, G₂ and SPIN(7) STRUCTURES
• Gluing theorems for complete anti-self-dual spaces
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