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PreprintarXiv licencearXiv

Flexibility of affine cones over blow-ups of weighted projective planes

  • In-Kyun Kim
  • Dae-Won Lee
  • Masatomo Sawahara
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Abstract

Let Smn be the surface obtained by blowing up ℙ(1,1,m) at n general smooth points, where m≥2. For every very ample Cartier divisor H on Smn, we prove that AffconeH(Smn) is flexible when n≤ m+1. For n=m+2 and n=m+3, we prove that AffconeH(Smn) is generically flexible.

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Cite

BibTeXRIS
BibTeX
@misc{kim2026flexibility,
  title = {{Flexibility of affine cones over blow-ups of weighted projective planes}},
  author = {In-Kyun Kim and Dae-Won Lee and Masatomo Sawahara},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02500},
  eprint = {2609.02500},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02500},
}
RIS
TY  - UNPB
TI  - Flexibility of affine cones over blow-ups of weighted projective planes
AU  - In-Kyun Kim
AU  - Dae-Won Lee
AU  - Masatomo Sawahara
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02500
UR  - https://arxiv.org/abs/2609.02500
AB  - Let S_m^n be the surface obtained by blowing up ℙ(1,1,m) at n general smooth points, where m≥2. For every very ample Cartier divisor H on S_m^n, we prove that Affcone_H(S_m^n) is flexible when n≤ m+1. For n=m+2 and n=m+3, we prove that Affcone_H(S_m^n) is generically flexible.
ER  -