# Del Pezzo Surfaces in Weighted Projective Spaces

@article{Paemurru2018DelPS, title={Del Pezzo Surfaces in Weighted Projective Spaces}, author={Erik Paemurru}, journal={Proceedings of the Edinburgh Mathematical Society}, year={2018}, volume={61}, pages={545 - 572} }

Abstract We study singular del Pezzo surfaces that are quasi-smooth and well-formed weighted hypersurfaces. We give an algorithm to classify all of them.

## 6 Citations

Unstable singular del Pezzo hypersurfaces with lower index

- Mathematics
- 2020

Abstract We give examples of K-unstable singular del Pezzo surfaces which are weighted hypersurfaces with index 2.

K-stability of log del Pezzo hypersurfaces with index 2

- Mathematics
- 2022

We completely classify K-stability of log del Pezzo hypersurfaces with index 2.

Explorer DELTA INVARIANTS OF SINGULAR DEL PEZZO SURFACES

- Mathematics
- 2019

We use the methods introduced by Cheltsov–Rubinstein–Zhang in [CRZ18] to estimate δ-invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov in…

Four-Dimensional Projective Orbifold Hypersurfaces

- MathematicsExp. Math.
- 2016

A conjecture of Johnson and Kollár on infinite series of quasismooth hypersurfaces with anticanonical hyperplane section in the case of fourfolds is verified and those weighted hypersur faces that are canonical, Calabi–Yau and FanoFourfolds are classified.

Delta Invariants of Singular del Pezzo Surfaces

- MathematicsThe Journal of Geometric Analysis
- 2020

We use the methods introduced by Cheltsov–Rubinstein–Zhang (Sel Math (N.S.) 25(2):25–34, 2019 ) to estimate $$\delta $$ δ -invariants of the seven singular del Pezzo surfaces with quotient…

Polarized Rigid Del Pezzo Surfaces in Low Codimension

- Mathematics
- 2020

We classify wellformed and quasismooth polarized del Pezzo surfaces having basket of rigid orbifold points of type $\left\{k_i\times\frac{1}{r_i}(1,a): 3\le r_i \le 10,k_i \in \mathbb {Z}{\ge…

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