The minimal genus problem in rational surfaces \(CP^2 \sharp n\overline{CP^2}\)

DOI10.1007/s11425-006-2019-zzbMath1112.57009OpenAlexW1590929669MaRDI QIDQ867779

Hongzhu Gao, Huaidong Qiu, Xu-An Zhao

Publication date: 16 February 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-2019-z

zbMATH Keywords

rational surfaceminimal genusLorentz orthogonal transformation

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Realizing cycles by submanifolds (57R95) Classical topics in algebraic topology (55M99)

Related Items (6)

A note on the complexity of \(h\)-cobordisms ⋮ Minimal genus for 4-manifolds withb⁺ = 1 ⋮ Symplectic \((-2)\)-spheres and the symplectomorphism group of small rational 4-manifolds ⋮ The minimal genus problem -- a quarter century of progress ⋮ Minimal genus and simplified classes in rational manifolds ⋮ Symplectic (-2)-spheres and the symplectomorphism group

Cites Work

• Positive 2-spheres in 4-manifolds of signature \((1,n)\)
• On diffeomorphism types of certain algebraic surfaces. II
• The minimal genus problem
• Smooth minimal genera for small negative classes in \({\mathbb C}P^{2}{\#}n{\overline{{\mathbb C}P}^2}\) with \(n {\leqslant} 9\)
• The genus of embedded surfaces in the projective plane
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• Representing nonnegative homology classes of ℂℙ²#𝕟\overline{ℂℙ}² by minimal genus smooth embeddings
• Representing homology classes of almost definite 4-manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The minimal genus problem in rational surfaces \(CP^2 \sharp n\overline{CP^2}\)