3 citations · 10 across the 13 of their papers we have counts for
16 papers
A Higher dimensional log Riemann--Hurwitz inequality and rigidity of covers
Donu Arapura, Chikako Mese, Deepam Patel
Let be a smooth projective variety with an simple normal crossing divisor such that is nef. We prove that if $Y\subset Z:=\overline…
Harmonic maps in singular geometry and rigidity
Georgios Daskalopoulos, Chikako Mese
This survey reviews results on harmonic maps into spaces of non-positive curvature, with a focus on targets that lack smooth structure. More precisely, we consider targets that are…
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…
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…
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…
Notes on Harmonic Maps
Georgios Daskalopoulos, Chikako Mese
This is set of notes prepared for the Summer School on non-Abelian Hodge theory in Abbaye de Saint-Jacut de la Mer June, 6-19, 2022. We cover the following topics: Lecture 1. Harmo…