## 代数幾何学セミナー

開催情報 火曜日　15:30～17:00　数理科学研究科棟(駒場) 122号室 權業 善範・中村 勇哉・田中公

### 2018年10月16日(火)

15:30-17:00   数理科学研究科棟(駒場) 122号室
Tuyen Truong 氏 (Oslo)
A countable characterisation of smooth algebraic plane curves, and generalisations (English)
[ 講演概要 ]
Given a smooth algebraic curve X in C^3, I will present a way to construct a sequence of algebraic varieties (whose ideals are explicitly determined from the ideal defining X), whose solution set is non-empty iff the curve X can be algebraically embedded into C^2.
Various other questions, such as whether two given algebraic varieties are birational, can be similarly treated. Some related conjectures are stated.