Linked Life Data

19033184

Source:http://linkedlifedata.com/resource/pubmed/id/19033184

Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
48
pubmed:dateCreated
2008-12-3
pubmed:abstractText
A classical set of birational invariants of a variety are its spaces of pluricanonical forms and some of their canonically defined subspaces. Each of these vector spaces admits a typical metric structure which is also birationally invariant. These vector spaces so metrized will be referred to as the pseudonormed spaces of the original varieties. A fundamental question is the following: Given two mildly singular projective varieties with some of the first variety's pseudonormed spaces being isometric to the corresponding ones of the second variety's, can one construct a birational map between them that induces these isometries? In this work, a positive answer to this question is given for varieties of general type. This can be thought of as a theorem of Torelli type for birational equivalence.
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:status
MEDLINE
pubmed:month
Dec
pubmed:issn
1091-6490
pubmed:author
pubmed:issnType
Electronic
pubmed:day
2
pubmed:volume
105
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
18696-701
pubmed:dateRevised
2009-6-3
pubmed:meshHeading
pubmed:year
2008
pubmed:articleTitle
A geometric approach to problems in birational geometry.
pubmed:affiliation
Department of Mathematics, Harvard University, Cambridge, MA 02138, USA. cychi@math.harvard.edu
pubmed:publicationType
Journal Article