Luca Battistella

collaborators

3 papers

math.AG2026

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

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…

math.AG2024

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.

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

Wall-crossing integral Chow rings of M1,n​

Gorenstein curve singularities of genus three

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

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