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arXiv · 0906.5195

Surfaces of general type with $p_g=1$ and $q=0$

Heesang Park·Jongil Park·Dongsoo Shin
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Abstract

In this paper we construct a new family of simply connected minimal complex surfaces of general type with $p_g=1$, $q=0$, and $K^2=3, 4, 5, 6, 8$ using a $\mathbb{Q}$-Gorenstein smoothing theory. We also reconstruct minimal complex surfaces of general type with $p_g=1$, $q=0$, and $K^2=1, 2$ using the same method.

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Heesang Park, Jongil Park, Dongsoo Shin. 2011-01-16. Surfaces of general type with $p_g=1$ and $q=0$. https://arxiv.org/abs/0906.5195

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