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math.AG2025
On a sequence of singular ball quotient surfaces on the line
Carlos Rito, Xavier Roulleau
Starting from computer experiments with the fundamental group of the Cartwright--Steger surface, we construct an infinite tower of normal projective surfaces obtai…
math.NT2025
Number of partitions of modular integers (with an Appendix by P. Deligne)
David Broadhurst, Xavier Roulleau
For integers , we give a formula for the number of order subsets of the ring whose sum of elements is modulo . To do so, we de…