Gromov-Witten theory of schemes in mixed characteristicReport as inadecuate



 Gromov-Witten theory of schemes in mixed characteristic


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We define Gromov-Witten classes and invariants of smooth projective schemes of finite presentation over a Dedekind domain. We prove that they are deformation invariants and verify the fundamental axioms. For a smooth projective scheme over a Dedekind domain, we prove that the invariants of fibers in different characteristics are the same. We show that genus zero Gromov-Witten invariants define a potential which satisfies the WDVV equation and we deduce from this a reconstruction theorem for genus zero Gromov-Witten invariants in arbitrary characteristic.



Author: Flavia Poma

Source: https://archive.org/







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