Theoretical proof demonstrates a trivial pseudoautomorphism group for projective space blown up at eight points, resolving the Dolgachev–Ortland conjecture on Coble representations.
We prove that the pseudoautomorphism group of a blow‐up of at 8 very general points is trivial. We also establish the injectivity of the Coble representation associated to blow‐ups of at general points, answering a question of Dolgachev–Ortland.
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Cécile Gachet (2026) studied this question.
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