A logarithmic approach to linear series

Add to your list(s) Download to your calendar using vCal

• Francesca Carocci (University of Geneva)
• Wednesday 19 June 2024, 10:00-11:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

EMGW05 - Moduli stacks and enumerative geometry

Basepoint-free linear series correspond to maps  to projective space and thus are key to understanding the extrinsic geometry of algebraic curves.   How does a linear series degenerate when the underlying curve degenerates to a nodal curve? Eisenbud and Harris, and Ossermann gave a satisfactory answer to this question when the nodal curve is of compact type.  In a joint work (in progress) with Luca Battistella and Jonathan Wise, we review this question from a moduli-theoretic and logarithmic perspective, which allow us to move beyond the compact type case.  The logarithmic prospective sheds light on the rich  combinatorial structure underlying degenerations of linear series and helps unravelling the link with the theory of matroids and Bruhat-Tits buildings.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.