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dc.contributor.author
Cortiñas, Guillermo Horacio  
dc.contributor.author
Haesemeyer, Christian  
dc.contributor.author
Walker, Mark E.  
dc.contributor.author
Weibel, Charles A.  
dc.date.available
2017-04-05T18:21:14Z  
dc.date.issued
2013-02  
dc.identifier.citation
Cortiñas, Guillermo Horacio; Haesemeyer, Christian; Walker, Mark E.; Weibel, Charles A.; K-theory of cones of smooth varieties; Univ Press Inc; Journal Of Algebraic Geometry; 22; 1; 2-2013; 13-34  
dc.identifier.issn
1056-3911  
dc.identifier.uri
http://hdl.handle.net/11336/14841  
dc.description.abstract
Let R be the homogeneous coordinate ring of a smooth projective variety X over a field k of characteristic 0. We calculate the K-theory of R in terms of the geometry of the projective embedding of X. In particular, if X is a curve then we calculate K0(R) and K1(R), and prove that K−1(R) = ⊕H1 (C, O(n)). The formula for K0(R) involves the Zariski cohomology of twisted K¨ahler differentials on the variety.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Univ Press Inc  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Algebraic K-Theory  
dc.subject
Affine Cone  
dc.subject
Cohomology of Differential Forms  
dc.subject
Cyclic Homology  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
K-theory of cones of smooth varieties  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-04-05T15:11:27Z  
dc.journal.volume
22  
dc.journal.number
1  
dc.journal.pagination
13-34  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Cortiñas, Guillermo Horacio. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina  
dc.description.fil
Fil: Haesemeyer, Christian. University of California at Los Angeles; Estados Unidos  
dc.description.fil
Fil: Walker, Mark E.. Universidad de Nebraska - Lincoln; Estados Unidos  
dc.description.fil
Fil: Weibel, Charles A.. Rutgers University; Estados Unidos  
dc.journal.title
Journal Of Algebraic Geometry  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/jag/2013-22-01/S1056-3911-2011-00583-3/  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/S1056-3911-2011-00583-3  

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