Pluricanonical Maps and the Fujita Conjecture
Fabrizio Catanese (Bayreuth University, KIAS Seoul)
TL;DR
This paper presents examples demonstrating the limits of Fujita's conjecture on adjoint bundles in the general type case and proposes new conjectures on pluricanonical maps of varieties of general type.
Contribution
It introduces examples that show the sharpness of Fujita's conjecture and formulates related bold conjectures on pluricanonical maps.
Findings
Examples illustrating the sharpness of Fujita's conjecture
Formulation of new conjectures on pluricanonical maps
Insights into the behavior of adjoint bundles in general type cases
Abstract
We describe examples showing the sharpness of Fujita's conjecture on adjoint bundles also in the general type case, and use these examples to formulate related bold conjectures on pluricanonical maps of varieties of general type.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds