S. Kannan

activity

20192026

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math.AG2024

The $S_{n}$ -equivariant Euler characteristic of $M_{1, n} (P^{r}, d)$

Siddarth Kannan, Terry Dekun Song

We compute the $S_{n}$ -equivariant topological Euler characteristic of the Kontsevich moduli space $M_{1, n} (P^{r}, d)$ . Letting $\overline{\mathcal{M}}_{…

math.AG2024

The dual complex of $M_{1, n} (P^{r}, d)$ via the geometry of the Vakil--Zinger moduli space

Siddarth Kannan, Terry Dekun Song

We study normal crossings compactifications of the moduli space of maps $M_{g, n} (P^{r}, d)$ , for $g = 0$ and $g = 1$ . In each case we explicitly determine the dua…

The Sn​-equivariant Euler characteristic of M1,n​(Pr,d)

The dual complex of M1,n​(Pr,d) via the geometry of the Vakil--Zinger moduli space

The $S_{n}$ -equivariant Euler characteristic of $M_{1, n} (P^{r}, d)$

The dual complex of $M_{1, n} (P^{r}, d)$ via the geometry of the Vakil--Zinger moduli space