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math.AG2026
Invariants of big classes from asymptotic total Betti numbers
Michele Ancona, Junyan Cao
We introduce and study a new numerical invariant of big line bundles on normal complex projective varieties, defined in terms of the total Betti number of hypersurfaces associated…
math.AG2026
A recursion for the volume of the moduli space of hyperbolic spheres
Michele Ancona, Damien Gayet
We prove the existence of a non-linear recursive relation for the volume of the moduli space of hyperbolic spheres with conical points or geodesic boundaries. This relation general…