Aitor Iribar Lopez

activity

20242026

collaborators

3 papers

math.AG2026

Weight decomposition for toroidal abelian fibrations

Younghan Bae, Jeremy Feusi, Aitor Iribar Lopez +1

We study the action of the rational multiplication by $N$ map on the Chow groups of degenerations of principally polarized abelian varieties of torus rank at most one, as well as i…

math.AG2025

Gromov-Witten theory of $Hilb^{n} (C^{2})$ and Noether-Lefschetz theory of $A_{g}$

Aitor Iribar Lopez, Rahul Pandharipande, Hsian-Hua Tseng

We calculate the genus 1 Gromov-Witten theory of the Hilbert scheme $Hilb^{n} (C^{2})$ of points in the plane. The fundamental 1-point invariant (with a divisor insert…

math.AG2024

The Euler characteristic of $A_{g}$ via Hodge integrals

Aitor Iribar Lopez

We prove the Harder-Siegel formula for the Euler characteristic of $A_{g}$ via the intersection theory of $M_{g}$ and a vanishing result for lambda class…

Weight decomposition for toroidal abelian fibrations

Gromov-Witten theory of Hilbn(C2) and Noether-Lefschetz theory of Ag​

The Euler characteristic of Ag​ via Hodge integrals

Gromov-Witten theory of $Hilb^{n} (C^{2})$ and Noether-Lefschetz theory of $A_{g}$

The Euler characteristic of $A_{g}$ via Hodge integrals