| 講演者 | Nguyen Thi Ngoc Giao氏（東京理科大学） |
| 題目 | On the classification of cubic planar Cremona maps |
| 日時 | 2025年6月25日（水） 16:30 ～17:30 |
| 場所 | 東京理科大学野田キャンパス4号館3階数理科学科セミナー室 |
| 概要 | We are interested in birational self-maps of the projective plane over the field C of complex numbers. Such maps are typically written as f : P^2 – – > P^2 and are known as plane Cremona maps. The collection of all such maps forms a group, called the plane Cremona group and denoted by Bir(P^2). The generators of Bir(P^2) have been known for over a century, by the famous Noether-Castelnuovo theorem. In this talk, we focus on the classification of plane Cremona maps of degree 3, also known as cubic planar Cremona maps, up to automorphisms of the plane. To do so, we introduce a new discrete invariant for cubic planar Cremona maps, called enriched weighted proximity graph, which encodes some properties of the base locus of the map. Our classification fills some gaps in the previous known classification, which was given by Dominique Cerveau and Julie Déserti. The results presented are part of a joint work with Alberto Calabri. |
| 共催 | 先端的代数学融合研究部門 野田代数セミナー，MaSCE Seminar |
Department of Mathematics
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