Book contents
- Frontmatter
- Contents
- Contributors
- Preface
- 1 On the Stack of 0-Dimensional Coherent Sheaves: Structural Aspects
- 2 Three Lectures on Quadratic Enumerative Geometry
- 3 Flat Torsors in Complex Geometry
- 4 Universal Chern Classes on the Moduli of Bundles
- 5 Linear Stability of Coherent Systems and Applications to Butler’s Conjecture
- 6 A Kobayashi–Hitchin Correspondence for General Coherent Systems
- 7 On the Injectivity and Non-injectivity of the l-Adic Cycle Class Maps
- 8 A Primer on Zeta Functions and Decomposition Spaces
- 9 Atiyah–Bott Localization in Equivariant Witt Cohomology
- 10 Base Loci, Semiampleness, and Parallelizable Manifolds
- 11 Recent Developments on Compactifications of Stacks of Shtukas
- 12 A Common Generalisation of the André–Oort and André–Pink–Zannier Conjectures
- References
12 - A Common Generalisation of the André–Oort and André–Pink–Zannier Conjectures
Published online by Cambridge University Press: 31 October 2025
Book contents
- Frontmatter
- Contents
- Contributors
- Preface
- 1 On the Stack of 0-Dimensional Coherent Sheaves: Structural Aspects
- 2 Three Lectures on Quadratic Enumerative Geometry
- 3 Flat Torsors in Complex Geometry
- 4 Universal Chern Classes on the Moduli of Bundles
- 5 Linear Stability of Coherent Systems and Applications to Butler’s Conjecture
- 6 A Kobayashi–Hitchin Correspondence for General Coherent Systems
- 7 On the Injectivity and Non-injectivity of the l-Adic Cycle Class Maps
- 8 A Primer on Zeta Functions and Decomposition Spaces
- 9 Atiyah–Bott Localization in Equivariant Witt Cohomology
- 10 Base Loci, Semiampleness, and Parallelizable Manifolds
- 11 Recent Developments on Compactifications of Stacks of Shtukas
- 12 A Common Generalisation of the André–Oort and André–Pink–Zannier Conjectures
- References
Summary
We introduce a “hybrid” conjecture which is a common generalisation of the André-Oort conjecture and the André-Pink-Zannier conjecture and we prove that it is a consequence of the Zilber-Pink conjecture. This extends a previous work of V. Aslanyan and C. Daw. We also show that our hybrid conjecture implies the Zilber-Pink conjecture for hypersurfaces contained in weakly special subvarieties.
Information
- Type
- Chapter
- Information
- Moduli, Motives and BundlesNew Trends in Algebraic Geometry, pp. 447 - 468Publisher: Cambridge University PressPrint publication year: 2025
References
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