SPOT shows that state-of-the-art AI models detect fewer than one in five known errors in full scientific papers, with precision below 7%.
Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface
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abstract
We describe complex conjugation on the primitive middle-dimensional algebraic de Rham cohomology of a smooth projective hypersurface defined over a number field that admits a real embedding. We use Griffiths' description of the cohomology in terms of a Jacobian ring. The resulting description is algebraic up to transcendental factors explicitly given by certain periods.
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When AI Co-Scientists Fail: SPOT-a Benchmark for Automated Verification of Scientific Research
SPOT shows that state-of-the-art AI models detect fewer than one in five known errors in full scientific papers, with precision below 7%.