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arxiv: 2606.01587 · v1 · pith:NTEODDCRnew · submitted 2026-06-01 · 🧮 math.DS

Isoperiodic forms and invariant subvarieties of connected strata

classification 🧮 math.DS
keywords formsconnectedfoliationstrataabsolutealongclassifyclosed
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Strata of holomorphic $1$-forms have an absolute period foliation given by varying $1$-forms while keeping their integrals along closed loops fixed. In this paper, we classify the leaf closures of this foliation when the stratum is connected, outside of a subvariety of high codimension.

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