Alessio Corti, Anne-Sophie Kaloghiros
Abstract
We prove a version of the Sarkisov program for volume preserving birational maps of Mori fibred Calabi-Yau pairs valid in all dimensions. Our theorem generalises the theorem of Usnich and Blanc on factorisations of birational maps of the 2-dimensional torus that preserve the canonical volume form.
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We prove a version of the Sarkisov program for volume preserving birational maps of Mori fibred Calabi-Yau pairs valid in all dimensions. Our theorem generalises the theorem of Usnich and Blanc on factorisations of birational maps of the 2-dimensional torus that preserve the canonical volume form.
Key concepts: Fibered knot, Calabi–Yau manifold, Mathematics, Pure mathematics, Torus, Volume form, Algebra over a field, Geometry