A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=3\)

DOI10.2140/gt.2009.13.743zbMath1181.14042arXiv0708.0273OpenAlexW2951327338MaRDI QIDQ1006139

Dongsoo Shin, Heesang Park, Jong-Il Park

Publication date: 19 March 2009

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0273

zbMATH Keywords

surface of general typerational blow-down\(Q\)-Gorenstein smoothing

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)

Related Items (17)

KSBA surfaces with elliptic quotient singularities, \(\pi_{1}=1\), \(p_{g}=0\), and \(K^{2}=1,2\) ⋮ Some open questions about line arrangements in the projective plane ⋮ A simply connected numerical Campedelli surface with an involution ⋮ Construction of surfaces of general type from elliptic surfaces via \(\mathbb Q\)-Gorenstein smoothing ⋮ Exceptional collections on Dolgachev surfaces associated with degenerations ⋮ Flipping surfaces ⋮ The Craighero–Gattazzo surface is simply connected ⋮ Involutions on surfaces with \(p _{g } = q = 0\) and \(K ^{2} = 3\) ⋮ Erratum to the article ``A simply connected surface of general type with \(p_g=0\) and \(K^2=3\) ⋮ Unnamed Item ⋮ Spherical 3-manifolds bounding rational homology balls ⋮ Cylinders in Fano varieties ⋮ NEW EXAMPLES OF CALABI–YAU 3-FOLDS AND GENUS ZERO SURFACES ⋮ A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=4\) ⋮ Surfaces of general type with geometric genus zero: a survey ⋮ Rational configurations in \(K3\) surfaces and simply-connected \(p_g=1\) surfaces with \(K^2=1,2,3,4,5,6,7,8,9\) ⋮ SIMPLY CONNECTED COMPLEX SURFACES OF GENERAL TYPE WITH p g = 0 AND K 2 = 1, 2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Configurations of Kodaira fibers on rational elliptic surfaces
• Constructions of small symplectic 4-manifolds using Luttinger surgery
• Small exotic 4-manifolds
• Threefolds and deformations of surface singularities
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Elliptic deformations of minimally elliptic singularities
• Smoothings of normal surface singularities
• Rational blowdowns of smooth 4-manifolds
• Simply connected symplectic 4-manifolds with \(b_2^+ = 1\) and \(c_1^2 = 2\)
• Symplectic rational blowdowns
• Quadratic functions and smoothing surface singularities
• Zariski-decomposition and abundance
• A simply connected surface of general type with \(p_ g=0\)
• An exotic smooth structure on {\(\mathbb C\mathbb P^ 2\#6\overline{\mathbb C\mathbb P^ 2}\)}
• A simply connected surface of general type with \(p_g=0\) and \(K^2=2\)
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• DEFORMATIONS OF COMPLEX SPACES
• Seiberg-Witten invariants of generalised rational blow-downs
• The Cotangent Complex of a Morphism
• Normal degenerations of the complex projective plane.
• Generalized symplectic rational blowdowns

This page was built for publication: A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=3\)