June 17, 2024Open Access

On the splitting of surfaces in motivic stable homotopy category

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Resumen

Let k be a field and X be a smooth projective surface over k with a rational point, we discuss the condition of splitting off the top cell for the motivic stable homotopy type of X. We also study some outlying examples, such as K3 surfaces.

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Haoyang Liu (Mon,) studied this question.

synapsesocial.com/papers/68e64779b6db6435875d921f https://doi.org/https://doi.org/10.48550/arxiv.2406.11922

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4Proper splittings and projectivity for good moduli spaces2024
5K3 surfaces with a symplectic action of $(\mathbb Z/2\mathbb Z)^2$2024

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