Author

Maur'icio Correa

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Preprint Sep 2026

Supermoduli spaces are non-projected in every genus $g\geq 3$

We prove that, for every genus $g\geq 3$, the primary obstruction of each parity component of the moduli superstack of smooth unpunctured super Riemann surfaces is nonzero, both algebraically and holomorphically. Consequently, both components are non-projected and, in particular, non-split: neither admits an algebraic...

Maur'icio Correa, R. Donagi, S. Noja · 0 citations

Preprint Sep 2026

Chern-Ricci flow on Kato surfaces

Let $S$ be a Kato surface and $D$ its maximal reduced divisor of rational curves. On $S\setminus D$ we construct Hermitian metrics which are flat along the leaves of the canonical foliation and study their evolution under the Chern-Ricci flow. For Enoki surfaces, we construct an immortal normalised solution which, on e...

Daniele Angella, Maur'icio Correa · 0 citations