Plane Cremona transformations of fixed degree and degenerations

Time: 9:30 -- 11:00, July 3, 2024.

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: The group of plane Cremona transformations is endowed with a natural topology and the set of maps of some bounded degree is closed. We will review some properties of the quasi-projective variety which parametrizes plane Cremona maps of fixed degree. Then, we will address the question of determining which plane Cremona maps of small degree are limits of maps of higher degree.

This talk is mainly based on joint works with Jérémy Blanc and with Cinzia Bisi and Massimiliano Mella.