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Two-flag degenerations and real circles tangent to three conics

Liu, Haoyang et al.
arXiv (All) · Papers
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algebraic-geometry
Three general plane conics admit $184$ complex tangent circles, and it had been conjectured that at most $136$ of them could be real. We construct an explicit strongly general triple of smooth conics over $\mathbb{Q}$ with exactly $160$ real tangent circles; the same count therefore occurs on a none
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