# Lifting weighted blow-ups

@article{Andreatta2018LiftingWB, title={Lifting weighted blow-ups}, author={Marco Andreatta}, journal={Revista Matem{\'a}tica Iberoamericana}, year={2018} }

Let f: X -> Z be a local, projective, divisorial contraction between normal varieties of dimension n with Q-factorial singularities. Let $Y \subset X$ be a f-ample Cartier divisor and assume that f|Y: Y -> W has a structure of a weighted blow-up. We prove that f: X -> Z, as well, has a structure of weighted blow-up. As an application we consider a local projective contraction f: X -> Z from a variety X with terminal Q-factorial singularities, which contracts a prime divisor E to an isolated Q…

## 4 Citations

On minimal varieties growing from quasismooth weighted hypersurfaces

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Looijenga has introduced new compactifications of locally symmetric varieties that give a complete understanding of the period map from the GIT moduli space of plane sextics to the Baily-Borel…

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Looijenga has introduced new compactifications of locally symmetric varieties that give a complete understanding of the period map from the GIT moduli space of plane sextics to the Baily-Borel…

Divisorial contractions to codimension three orbits

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Let $G$ be a connected algebraic group. We study $G$-equivariant extremal
contractions whose centre is a codimension three $G$-simply connected orbit. In
the spirit of an important result by Kawakita…

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