Degree of irrationality of Fano threefold hypersurfaces
Ivan Cheltsov, Jihun Park
TL;DR
This paper investigates the degree of irrationality of certain weighted Fano threefold hypersurfaces with terminal singularities, providing insights into their algebraic complexity.
Contribution
It introduces new results on the irrationality measures of quasismooth anticanonically embedded weighted Fano 3-fold hypersurfaces with terminal singularities.
Findings
Determined the degree of irrationality for specific classes of Fano 3-fold hypersurfaces.
Established bounds on irrationality for these algebraic varieties.
Enhanced understanding of the complexity of Fano threefolds with singularities.
Abstract
We study degree of irrationality of quasismooth anticanonically embedded weighted Fano 3-fold hypersurfaces that have terminal singularities.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Meromorphic and Entire Functions