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arXiv · 0803.1322

A complex surface of general type with p_g=0, K^2=3 and H_1=Z/2Z

Heesang Park·Jongil Park·Dongsoo Shin
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Abstract

This paper is an addendum to [4], in which the authors constructed a simply connected minimal complex surface of general type with p_g=0 and K^2=3. In this paper we construct a new non-simply connected minimal surface of general type with p_g=0, K^2=3 and H_1=Z/2Z using a rational blow-down surgery and Q-Gorenstein smoothing theory.

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Heesang Park, Jongil Park, Dongsoo Shin. 2008-03-26. A complex surface of general type with p_g=0, K^2=3 and H_1=Z/2Z. https://arxiv.org/abs/0803.1322

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