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math.AG2026
Uniform non-homogeneous vector bundles: A counterexample to the conjecture of Drézet and Ballico-Ellia
Graham Denham, Rosa Miró-Roig, Hal Schenck
We construct a rank-9 uniform non-homogeneous vector bundle on . This yields the first counterexample to the longstanding open conjecture that every uniform vector b…
math.AG2019
Hyberbolic Belyi maps and Shabat-Blaschke products
Kenneth Chung Tak Chiu, Tuen Wai Ng
We first introduce hyperbolic analogues of Belyi maps, Shabat polynomials and Grothendieck's dessins d'enfant. In particular we introduce and study the Shabat-Blaschke products and…