Oort's amalgamated-sum conjecture for Newton polygons on the Torelli locus
Oort's amalgamated-sum conjecture for Newton polygons on the Torelli locus
For , let , and let be a symmetric Newton polygon appearing on the open Torelli locus . Write
Let be the amalgamate sum of and . Oort's conjecture. The Newton polygon appears on the open Torelli locus .
The conjecture predicts that Newton polygons occurring for Jacobians of smooth curves can be combined under addition of the genera. It is attributed to Oort; the source does not state whether it has been resolved.
Sources & referencesView supporting material
Primary source
Wanlin Li, Elena Mantovan, Rachel Pries and Yunqing Tang, “Newton polygon stratification of the Torelli locus in PEL-type Shimura varieties”, arXiv:1811.00604 (2019).
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