Relations in the Sarkisov program

DOI10.1112/S0010437X13007306zbMath1280.14004arXiv1203.3767OpenAlexW2963572029MaRDI QIDQ2860718

Anne-Sophie Kaloghiros

Publication date: 20 November 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3767

zbMATH Keywords

minimal model programSarkisov program

Mathematics Subject Classification ID

Rational and birational maps (14E05) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items

Compactifications of spaces of Landau-Ginzburg models ⋮ Rigid birational involutions of \(\mathbb{P}^3\) and cubic threefolds ⋮ Toric Sarkisov links of toric Fano varieties ⋮ Non-rigid quartic -folds ⋮ Quotients of groups of birational transformations of cubic del Pezzo fibrations ⋮ Circle of Sarkisov Links on a Fano 3-Fold ⋮ Signature morphisms from the Cremona group over a non-closed field ⋮ Unnamed Item ⋮ Invariants of varieties and singularities inspired by Kähler-Einstein problems

Cites Work

• Geography of log models: theory and applications
• New outlook on the minimal model program. I.
• Asymptotic invariants of base loci
• Flops connect minimal models
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Existence of minimal models for varieties of log general type
• The Sarkisov program