Stefano Serpente

activity

20202022

collaborators

3 papers

math.AG2022

Equivariant Hodge polynomials of heavy/light moduli spaces

Siddarth Kannan, Stefano Serpente, Claudia He Yun

Let $M ˉ_{g, m ∣ n}$ denote Hassett's moduli space of weighted pointed stable curves of genus $g$ for the heavy/light weight data $(1^{(m)}, 1/ n^{(n)})$ , and…

math.AG2021

Filtrations of moduli spaces of tropical weighted stable curves

Stefano Serpente

We study how changing the weight datum $A = (a_{1}, ..., a_{n}) \in (Q \cap (0, 1])^{n}$ affects the topology of tropical moduli spaces $M_{g, A}^{t r o p}$ , $\overline{M…

math.CO2020

Topology of tropical moduli spaces of weighted stable curves in higher genus

Siddarth Kannan, Shiyue Li, Stefano Serpente +1

Given integers $g \geq 0$ , $n \geq 1$ , and a vector $w \in (Q \cap (0, 1])^{n}$ such that $2 g - 2 + \sum w_{i} > 0$ , we study the topology of the moduli space $Δ_{g, w}$ of…