Lines on Calabi Yau complete intersections, mirror symmetry, and Picard Fuchs equations
A.Libgober, J.Teitelbaum
TL;DR
This paper verifies a proposed relation between rational curves on Calabi-Yau threefolds and Picard Fuchs equations within the context of mirror symmetry, specifically for complete intersections of two cubics and lines.
Contribution
It confirms the predicted relation in specific Calabi-Yau cases, advancing understanding of mirror symmetry and enumerative geometry.
Findings
Confirmed the relation for complete intersection of two cubics
Validated the link between rational curves and Picard Fuchs equations
Contributed to the mathematical foundation of mirror symmetry
Abstract
A relation between the number of rational curves of fixed degree on Calabi Yau threefolds and the Picard Fuchs equations, which was suggested as part of the study of mirror symmetry, is verified in the case of complete intersection of two cubics and lines.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry