Hostname: page-component-7479d7b7d-t6hkb Total loading time: 0 Render date: 2024-07-13T11:47:46.017Z Has data issue: false hasContentIssue false
  • English
  • Français

PLURICANONICAL COHOMOLOGY ACROSS FLIPS

Published online by Cambridge University Press:  01 September 1999

GAVIN BROWN
GAVIN BROWN
Affiliation:
Jesus College, Oxford OX1 3DW
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)