Non-commutative Mori contractions and \(\mathbb P^1\)-bundles
From MaRDI portal
Publication:2437481
DOI10.1016/j.aim.2013.06.018zbMath1290.14002arXiv0904.1717OpenAlexW2964040849MaRDI QIDQ2437481
Publication date: 3 March 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.1717
Noncommutative algebraic geometry (14A22) Rational and birational maps (14E05) Minimal model program (Mori theory, extremal rays) (14E30)
Related Items (5)
Species and non-commutative \(\mathbb{P}^1\)'s over non-algebraic bimodules ⋮ Local duality for connected \(\mathbb{Z}\)-algebras ⋮ The geometry of arithmetic noncommutative projective lines ⋮ Non-commutative $\mathbb{P}^{1}$-bundles over commutative schemes ⋮ Rational curves and ruled orders on surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Grothendieck group of a quantum projective space bundle
- Intersection theory on algebraic stacks and on their moduli spaces
- Rings with Auslander dualizing complexes
- Noncommutative projective schemes
- Existence theorems for dualizing complexes over non-commutative graded and filtered rings
- Ideal classes of three dimensional Artin-Schelter regular algebras.
- Serre finiteness and Serre vanishing for non-commutative \(\mathbb P^1\)-bundles
- Ideal classes of three-dimensional Sklyanin algebras.
- Intersection theory over quantum ruled surfaces
- The minimal model program for orders over surfaces
- Blowing up of non-commutative smooth surfaces
- Non-commutative $\mathbb{P}^{1}$-bundles over commutative schemes
- Serre duality for non-commutative ${\mathbb {P}}^{1}$-bundles
- REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
- Bézout's theorem for non-commutative projective spaces
- Abstract Hilbert schemes. I
This page was built for publication: Non-commutative Mori contractions and \(\mathbb P^1\)-bundles