Luca Battistella

activity

20242026

most citedWall-crossing integral Chow rings of

M_{1, n}

2 citations · 3 across the 3 of their papers we have counts for

collaborators

4 papers

math.AG2026

The unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markings

Luca Battistella, Andrea Di Lorenzo, Michele Pernice

We classify all open substacks admitting a proper good moduli space inside the stack $G_{1, n}$ of log-canonically polarized Gorenstein curves of genus one with $n$ distin…

math.AG2025

Integral Chow rings of modular compactifications of $M_{1, n \leq 6}$

Luca Battistella, Andrea Di Lorenzo

For $n \leq 6$ , we compute the integral Chow ring of every modular compactification of $M_{1, n}$ parametrising only Gorenstein curves with smooth, distinct markings. These…

math.AG2024★ 1 cited

Gorenstein curve singularities of genus three

Luca Battistella

We classify the analytic germs of isolated Gorenstein curve singularities of genus three, and relate them to the connected components of strata of abelian differentials.

math.AG2024★ 2 cited

Wall-crossing integral Chow rings of $M_{1, n}$

Luca Battistella, Andrea Di Lorenzo

We compute the integral Chow rings of $M_{1, n}$ for $n = 3, 4$ . For $n \leq 6$ , these stacks can be obtained by a sequence of weighted blow-ups and blow-downs from…

The unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markings

Integral Chow rings of modular compactifications of M1,n≤6​

Gorenstein curve singularities of genus three

Wall-crossing integral Chow rings of M1,n​

Integral Chow rings of modular compactifications of $M_{1, n \leq 6}$

Wall-crossing integral Chow rings of $M_{1, n}$