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arXiv · 2608.19461

A minimality criterion for surfaces of general type with applications to product-quotient surfaces

Federico Fallucca
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Abstract

We provide a numerical criterion to find the curves on a surface of general type that are contracted to its minimal model. We then apply this approach to product-quotient surfaces, where the criterion determines whether all such contracted curves are contained in reducible fibres of the two natural fibrations.

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Federico Fallucca. 2026-08-19. A minimality criterion for surfaces of general type with applications to product-quotient surfaces. https://arxiv.org/abs/2608.19461

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