Talk:Hirzebruch surface
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Todo
[edit]- Describe the Hirzebruch surface in terms of a toric variety. This post https://wangweikun.com/math-ag-toric/toric-construction-of-hirzebruch-surface/ is super handy while going through this process
- Go through giving an explicit description using page 27 - 39 of https://arxiv.org/pdf/math/0507286.pdf (Manetti Deformation) since the charts come from the toric geometry/quotient geometry
- Relate the last construction to the construction with the symmetric algebra, this should demystify the presentation
- Also, given examples for the simple case of
- Reference scrolls and how they are generalizations of this construction
- Describe relation to gonality of curves
- https://mathoverflow.net/questions/122952/on-a-hirzebruch-surface
