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arxiv: 0805.3986 · v3 · submitted 2008-05-26 · 🧮 math.AG · math.NT

Unirational Surfaces on the Noether Line

classification 🧮 math.AG math.NT
keywords surfacesunirationalabundancecharacteristiccommonconnectedconstructeven
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We show that among simply connected surfaces of general type unirationality is a common feature, even when fixing the positive characteristic or numerical invariants. To do so, we construct unirational Horikawa surfaces in abundance.

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