Weighted Fano threefold hypersurfaces
Ivan Cheltsov, Jihun Park
TL;DR
This paper investigates the birational properties of weighted Fano threefold hypersurfaces, focusing on their transformations into elliptic fibrations and automorphisms, within the context of classified quasismooth varieties.
Contribution
It provides a detailed analysis of birational transformations and automorphisms of weighted Fano 3-fold hypersurfaces with terminal singularities, expanding understanding of their birational geometry.
Findings
Classification of birational transformations into elliptic fibrations.
Identification of birational automorphisms for these hypersurfaces.
Insights into the structure of quasismooth weighted Fano 3-folds.
Abstract
We study birational transformations into elliptic fibrations and birational automorphisms of quasismooth anticanonically embedded weighted Fano 3-fold hypersurfaces having terminal singularities classified by A.R. Iano-Fletcher, J. Johnson, J. Kollar, and M. Reid.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology