Balanced line bundles on Fano varieties
-
Brian Lehmann
,
Sho Tanimoto
Abstract
A conjecture of Batyrev and Manin relates arithmetic properties of varieties with ample anticanonical class to geometric invariants. We analyze the geometry underlying these invariants using the Minimal Model Program and then apply our results to primitive Fano threefolds.
Funding source: National Science Foundation
Award Identifier / Grant number: 1160859
Funding statement: The second author was partially supported by Lars Hesselholt’s Niels Bohr professorship. The third author was partially supported by NSF grant 1160859.
Acknowledgements
The authors would like to thank Brendan Hassett, Damiano Testa, and Anthony Várilly-Alvarado for useful suggestions and Mihai Fulger for providing an argument for Lemma 4.7.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On the extension theorem of Hwang and Mok
- Tilting theory via stable homotopy theory
- Balanced line bundles on Fano varieties
- Symmetric differentials and variations of Hodge structures
- Multi-bump solutions of -Δn = K(x)u(n+2)/(n-2) on lattices in ℝn
- Asymptotic estimates on the von Neumann inequality for homogeneous polynomials
-
The space of compact self-shrinking solutions to the Lagrangian mean curvature flow in
- Quintic threefolds and Fano elevenfolds
- The Asaeda–Haagerup fusion categories
Artikel in diesem Heft
- Frontmatter
- On the extension theorem of Hwang and Mok
- Tilting theory via stable homotopy theory
- Balanced line bundles on Fano varieties
- Symmetric differentials and variations of Hodge structures
- Multi-bump solutions of -Δn = K(x)u(n+2)/(n-2) on lattices in ℝn
- Asymptotic estimates on the von Neumann inequality for homogeneous polynomials
-
The space of compact self-shrinking solutions to the Lagrangian mean curvature flow in
- Quintic threefolds and Fano elevenfolds
- The Asaeda–Haagerup fusion categories
