30 September 2025 to 3 October 2025
Palazzo del Castelletto
Europe/Rome timezone

Weighted blow-up in nature: wall crossings for Log-Hilbert stacks of points on curves.

3 Oct 2025, 11:30
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

Speaker

Dr Veronica Arena (University of Cambridge)

Description

Weighted blow-ups are a birational transformation that naturally appears in moduli spaces. One instance where this happens, is when studying the logarithmic Hilbert scheme of points on a curve $C$ equipped with a log structure. Today we will give a quick introduction to both weighted blow-ups and logarithmic Hilbert schemes of points on curves. Then we will focus our attention on the examples of two and three points on $(P^1|0)$ and will describe the wall crossings between the classical Hilbert scheme of points and the logarithmic ones via weighted blow-ups.

Primary author

Dr Veronica Arena (University of Cambridge)

Presentation materials

There are no materials yet.