강연 / 세미나
Algebraic Geometry Seminar | Cylindrical ample divisors on Du Val del Pezzo surfaces
| 분야Field | |||
|---|---|---|---|
| 날짜Date | 2023-06-27 ~ 2023-06-27 | 시간Time | 16:00 ~ 18:00 |
| 장소Place | 초청자Host | ||
| 연사Speaker | Masatomo Sawahara | 소속Affiliation | Yokohama National University, Saitama University) |
| TOPIC | Algebraic Geometry Seminar | Cylindrical ample divisors on Du Val del Pezzo surfaces | ||
| 소개 및 안내사항Content | Polarized cylinders in normal projective varieties receive a lot of attention from the viewpoint of connecting unipotent group actions on affine algebraic varieties. Hence, we shall focus on the configuration of sets of cylindrical ample divisors on normal projective varieties. Cheltsov, Park and Won studied sets of cylindrical ample divisors on smooth del Pezzo surfaces. Hence, we shall consider cylindrical ample divisors on Du Val del Pezzo surfaces. In this talk, we will explain the following result: Letting S be a Du Val del Pezzo surface S of degree at least 3 such that Sing(S) ̸= ∅, then S contains an H-polar cylinder for every ample Q-divisor H on S. If time permits, we also discuss cylindrical ample divisors on Du Val del Pezzo surfaces of degree 2 |
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| 학회명Field | Algebraic Geometry Seminar | Cylindrical ample divisors on Du Val del Pezzo surfaces | ||
|---|---|---|---|
| 날짜Date | 2023-06-27 ~ 2023-06-27 | 시간Time | 16:00 ~ 18:00 |
| 장소Place | 초청자Host | ||
| 소개 및 안내사항Content | Polarized cylinders in normal projective varieties receive a lot of attention from the viewpoint of connecting unipotent group actions on affine algebraic varieties. Hence, we shall focus on the configuration of sets of cylindrical ample divisors on normal projective varieties. Cheltsov, Park and Won studied sets of cylindrical ample divisors on smooth del Pezzo surfaces. Hence, we shall consider cylindrical ample divisors on Du Val del Pezzo surfaces. In this talk, we will explain the following result: Letting S be a Du Val del Pezzo surface S of degree at least 3 such that Sing(S) ̸= ∅, then S contains an H-polar cylinder for every ample Q-divisor H on S. If time permits, we also discuss cylindrical ample divisors on Du Val del Pezzo surfaces of degree 2 |
||
| 성명Field | Algebraic Geometry Seminar | Cylindrical ample divisors on Du Val del Pezzo surfaces | ||
|---|---|---|---|
| 날짜Date | 2023-06-27 ~ 2023-06-27 | 시간Time | 16:00 ~ 18:00 |
| 소속Affiliation | Yokohama National University, Saitama University) | 초청자Host | |
| 소개 및 안내사항Content | Polarized cylinders in normal projective varieties receive a lot of attention from the viewpoint of connecting unipotent group actions on affine algebraic varieties. Hence, we shall focus on the configuration of sets of cylindrical ample divisors on normal projective varieties. Cheltsov, Park and Won studied sets of cylindrical ample divisors on smooth del Pezzo surfaces. Hence, we shall consider cylindrical ample divisors on Du Val del Pezzo surfaces. In this talk, we will explain the following result: Letting S be a Du Val del Pezzo surface S of degree at least 3 such that Sing(S) ̸= ∅, then S contains an H-polar cylinder for every ample Q-divisor H on S. If time permits, we also discuss cylindrical ample divisors on Du Val del Pezzo surfaces of degree 2 |
||
| 성명Field | Algebraic Geometry Seminar | Cylindrical ample divisors on Du Val del Pezzo surfaces | ||
|---|---|---|---|
| 날짜Date | 2023-06-27 ~ 2023-06-27 | 시간Time | 16:00 ~ 18:00 |
| 호실Host | 인원수Affiliation | Masatomo Sawahara | |
| 사용목적Affiliation | 신청방식Host | Yokohama National University, Saitama University) | |
| 소개 및 안내사항Content | Polarized cylinders in normal projective varieties receive a lot of attention from the viewpoint of connecting unipotent group actions on affine algebraic varieties. Hence, we shall focus on the configuration of sets of cylindrical ample divisors on normal projective varieties. Cheltsov, Park and Won studied sets of cylindrical ample divisors on smooth del Pezzo surfaces. Hence, we shall consider cylindrical ample divisors on Du Val del Pezzo surfaces. In this talk, we will explain the following result: Letting S be a Du Val del Pezzo surface S of degree at least 3 such that Sing(S) ̸= ∅, then S contains an H-polar cylinder for every ample Q-divisor H on S. If time permits, we also discuss cylindrical ample divisors on Du Val del Pezzo surfaces of degree 2 |
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Admin
·
2023-05-17 11:38 ·
조회 262 
