On smooth Calabi-Yau threefolds of Picard number two
Christian Mauz
TL;DR
This paper classifies all smooth Calabi-Yau threefolds with Picard number two that possess a general hypersurface Cox ring, providing a comprehensive understanding of their structure.
Contribution
It offers a complete classification of smooth Calabi-Yau threefolds of Picard number two with a general hypersurface Cox ring, a novel result in algebraic geometry.
Findings
Complete classification of these Calabi-Yau threefolds
Identification of their geometric and algebraic properties
Clarification of the role of Cox rings in their structure
Abstract
We classify all smooth Calabi-Yau threefolds of Picard number two that have a general hypersurface Cox ring.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Meromorphic and Entire Functions · Commutative Algebra and Its Applications