Plane Cremona transformations of fixed degree and degenerations

Người báo cáo: Alberto Calabri (University of Ferrara, Italy)

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.

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Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)