차수 2인 Del Pezzo곡면 위 Affine Cone의 Generic Flexibility에 관하여
- Title
- 차수 2인 Del Pezzo곡면 위 Affine Cone의 Generic Flexibility에 관하여
- Authors
- 김재현
- Date Issued
- 2021
- Publisher
- 포항공과대학교
- Abstract
- The existence of ample polar cylinders in a smooth projective variety is closely related to the existence of nontrivial additive group actions on the corresponding generalized cone, even more to the flexibility of the cone. In particular, for del Pezzo surfaces of degrees at least 3, it was completely known that their ample polar cylindricity as well as the flexibility or generic flexibility of corresponding affine cones. In addition various ample divisors on smooth del Pezzo surfaces of degree $2$ have been verified to allow polar cylinders in \cite{CPW3}. From these cylinders, we show that affine cones over smooth del Pezzo surfaces of degree $2$ polarized by such ample divisors are flexible in codimension one.
- URI
- http://postech.dcollection.net/common/orgView/200000598976
https://oasis.postech.ac.kr/handle/2014.oak/117175
- Article Type
- Thesis
- Files in This Item:
- There are no files associated with this item.
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