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PLURICANONICAL COHOMOLOGY ACROSS FLIPS

Published online by Cambridge University Press:  01 September 1999

GAVIN BROWN
GAVIN BROWN
Affiliation:
Jesus College, Oxford OX1 3DW
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Abstract

A flip can be thought of as a diagram X− → X ← X+ of complex threefolds satisfying some conditions. One often thinks of a flip as being in two parts: the first part, X− → X, is the given, while the second, X ← X+, is the unknown. I calculate cohomological properties of the canonical classes, K− = KX− and so on, and in particular properties of the function

formula here

In the case of the toric flips of Danilov [3] and Reid [7], this function can be expressed in terms of lattice points of multiplies of a polyhedron giving sharpness for the more general result.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 5 , September 1999 , pp. 513 - 522
Copyright
© The London Mathematical Society 1999

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