SIMPLY CONNECTED COMPLEX SURFACES OF GENERAL TYPE WITH p g = 0 AND K 2 = 1, 2

DOI10.4134/CKMS.c160143zbMath1388.14113OpenAlexW3035122862MaRDI QIDQ4604941

Dongsoo Shin, Heesang Park, Ki-Heon Yun, Jong-Il Park

Publication date: 6 March 2018

Full work available at URL: http://koreascience.or.kr:80/article/JAKO201723839838250.pdf

zbMATH Keywords

rational blow-downsingularities of class T\(\mathbb Q\)-Gorenstein smoothingpencils of cubics in the projective planesimply connected surfaces of general typesurfaces of general type with \(p_g=0\)

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29)

Cites Work

• KSBA surfaces with elliptic quotient singularities, \(\pi_{1}=1\), \(p_{g}=0\), and \(K^{2}=1,2\)
• A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=3\)
• A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=4\)
• Threefolds and deformations of surface singularities
• A simply connected surface of general type with \(p_g=0\) and \(K^2=2\)
• Compact moduli spaces of surfaces of general type

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