Rational Curves on Calabi-Yau Threefolds: Verifying Mirror Symmetry Predictions
Dang Tuan Hiep
TL;DR
This paper computes the number of rational curves on certain Calabi-Yau threefolds up to degree six, confirming mirror symmetry predictions through explicit calculations.
Contribution
It provides the first explicit verification of mirror symmetry predictions for rational curves on complete intersection Calabi-Yau threefolds up to degree six.
Findings
Results agree with mirror symmetry predictions
Explicit counts of rational curves up to degree six
Supports mirror symmetry conjecture in algebraic geometry
Abstract
In this paper, the numbers of rational curves on general complete intersection Calabi-Yau threefolds in complex projective spaces are computed up to degree six. The results are all in agreement with the predictions made from mirror symmetry.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology