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.
References
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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