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math.AG2025
When is the diagonal contractible?
Xi Chen, Frank Gounelas
For a smooth projective complex variety , we study the problem of when there exists a birational morphism to a projective variety contracting the diagonal $…
math.AG2025
Trigonal Canonically Fibered Surfaces
Houari Benammar Ammar, Xi Chen, Nathan Grieve
We fix some gaps of a proof of Xiao's conjecture on canonically fibered surfaces of relative genus 5 by the second author. Our argument simplifies the original proof and gives a mu…