A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$

Dongsoo Shin; Heesang Park; Jongil Park

arxiv: 0910.3506 · v1 · submitted 2009-10-19 · 🧮 math.AG · math.GT

A simply connected surface of general type with p_g=1, q=0, and K²=8

Heesang Park , Jongil Park , Dongsoo Shin This is my paper

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keywords connectedsimplycomplexconstructfamilygeneralgorensteinmathbb

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We construct a new family of simply connected minimal complex surfaces with $p_g=1$, $q=0$, and $K^2=8$ using a $\mathbb{Q}$-Gorenstein smoothing theory.

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A simply connected surface of general type with p_g=1, q=0, and K²=8

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