A simply connected surface of general type with $p_g=0$ and $K^2=3$
| Autor: | Jongil Park, Heesang Park, Dongsoo Shin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
Pure mathematics
rational blow-down 14J10 Construct (python library) 14J29 14J10 14J17 53D05 Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry 53D05 Surface of general type Mathematics - Symplectic Geometry $\mathbb{Q}$-Gorenstein smoothing Simply connected space surface of general type FOS: Mathematics Symplectic Geometry (math.SG) Geometry and Topology 14J29 Algebraic Geometry (math.AG) Mathematics::Symplectic Geometry 14J17 Smoothing Mathematics Symplectic geometry |
| Zdroj: | Geom. Topol. 13, no. 2 (2009), 743-767 |
| Popis: | Motivated by a recent result of Y. Lee and the second author[7], we construct a simply connected minimal complex surface of general type with p_g=0 and K^2=3 using a rational blow-down surgery and Q-Gorenstein smoothing theory. In a similar fashion, we also construct a new simply connected symplectic 4-manifold with b_2^+=1 and K^2=4. 17 pages, 10 figures, a section regarding a symplectic 4-manifold with K^2=4 is added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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