Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry

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We present a universal normal Calabi-Yau algebra suitable for constructing and classifying the in nite series of the compact complex spaces with SU(n) holonomy. This algebraic approach includes natural extensions of re exive weight vectors to higher dimensions. It includes a `dual' construction...

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Autor principal: Volkov, G
Lenguaje:eng
Publicado: 2002
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/1344160
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author Volkov, G
author_facet Volkov, G
author_sort Volkov, G
collection CERN
description We present a universal normal Calabi-Yau algebra suitable for constructing and classifying the in nite series of the compact complex spaces with SU(n) holonomy. This algebraic approach includes natural extensions of re exive weight vectors to higher dimensions. It includes a `dual' construction based on the Diophantine decomposition of invariant monomials, which provides explicit recurrence formulae for the numbers of Calabi-Yau spaces in arbitrary dimensions.
id cern-1344160
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
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spelling cern-13441602019-09-30T06:29:59Zhttp://cds.cern.ch/record/1344160engVolkov, GUniversal Calabi-Yau Algebra: Towards an Unification of Complex GeometryParticle Physics - TheoryWe present a universal normal Calabi-Yau algebra suitable for constructing and classifying the in nite series of the compact complex spaces with SU(n) holonomy. This algebraic approach includes natural extensions of re exive weight vectors to higher dimensions. It includes a `dual' construction based on the Diophantine decomposition of invariant monomials, which provides explicit recurrence formulae for the numbers of Calabi-Yau spaces in arbitrary dimensions.oai:cds.cern.ch:13441602002
spellingShingle Particle Physics - Theory
Volkov, G
Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry
title Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry
title_full Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry
title_fullStr Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry
title_full_unstemmed Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry
title_short Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry
title_sort universal calabi-yau algebra: towards an unification of complex geometry
topic Particle Physics - Theory
url http://cds.cern.ch/record/1344160
work_keys_str_mv AT volkovg universalcalabiyaualgebratowardsanunificationofcomplexgeometry

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