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The document introduces new birational invariants, termed Hodge atoms, for smooth complex projective varieties, which combine rational Gromov-Witten invariants with classical Hodge theory. It demonstrates that these invariants can be used to prove the non-rationality of very general cubic fourfolds and provides a new proof of the equality of Hodge numbers for birational Calabi-Yau manifolds. The framework extends to other motivic Galois groups, offering new obstructions to rationality over non-algebraically

Author

JWHC CORUMANA PROJECT

Language

EN