The Ax-Schanuel conjecture for variations of Hodge structures
classification
🧮 math.AG
math.LOmath.NT
keywords
ax-schanuelhodgestructuresvarietiesboundconjecturedomainsessential
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We extend the Ax-Schanuel theorem recently proven for Shimura varieties by Mok-Pila-Tsimerman to all varieties supporting a pure polarized integral variation of Hodge structures. The essential new ingredient is a volume bound on Griffiths transverse subvarieties of period domains.
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