Student seminar

## Goal

We will discuss weighted projective spaces (and weighted projective varieties), and their relationship to stacks.

Topics that we intend to cover:

- local structure of weighted projective spaces
- varieties in weighted projective spaces
- weighted projective lines (which are not weighted projective spaces, despite their name)

- November 16
- An introduction to weighted projective spaces
- by Dennis Presotto, in G.006, at 13h00
- November 23
- An introduction to weighted projective varieties
- by Jens Hemelaer, in G.006, at 13h00
- November 30
- An introduction to weighted projective stacks
- by Pieter Belmans, in G.006, at 13h00

## References

- [1]
- Beltrametti, Mauro and Robbiano, Lorenzo
- Introduction to the theory of weighted projective spaces
- Expositiones Mathematicae,
**1986**, pages 111–162
- [2]
- Dolgachev, Igor
*Weighted projective spaces*
- Springer-Verlag,
**1982**, Lecture Notes in Mathematics 956, pages 34–71
- [3]
- Hosgood, Timoty
- An introduction to varieties in weighted projective space
**2015**
- [4]
- Reid, Miles
- Graded rings and varieties in weighted projective space
**2002**

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