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math.AG2024
Deformation Openness of Big Fundamental Groups and Applications
Ya Deng, Chikako Mese, Botong Wang
In 2001, de Oliveira, Katzarkov, and Ramachandran conjectured that the property of smooth projective varieties having big fundamental groups is stable under small deformations. Thi…
math.CV2024
Existence and unicity of pluriharmonic maps to Euclidean buildings and applications
Ya Deng, Chikako Mese
Given a complex smooth quasi-projective variety , a reductive algebraic group defined over some non-archimedean local field and a Zariski dense representation $\varrho:π…
math.DG2024
Harmonic Maps into Euclidean Buildings and Non-Archimedean Superrigidity
Christine Breiner, Ben K. Dees, Chikako Mese
We prove that harmonic maps into Euclidean buildings, which are not necessarily locally finite, have singular sets of Hausdorff codimension 2, extending the locally finite regulari…