On the Shafarevich and Tate conjectures for hyperkähler varieties

1996/05/01 by Yves André · 61 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Mathematics #Pure mathematics

paper · doi:10.1007/bf01444219

published in Mathematische Annalen 305(1), 205-248 (Springer Science and Business Media LLC)

crossref issued 1996/05/01 · crossref published 1996/05/01 · crossref published-print 1996/05/01 · openalex publication_date 1996/05/01 · crossref created 2005/04/12 · crossref deposited 2023/04/08 · openalex created_date 2025/10/10 · crossref indexed 2026/04/30 · openalex updated_date 2026/07/29

Citations

• F-isocrystals and de Rham cohomology II—Convergent isocrystals
• La conjecture de Weil : I
• Théorie de Hodge : II

Cited by

• The Tate Conjecture for a family of surfaces of general type with p g = q = 1 and K 2 = 3
• The Hodge conjecture for Weil fourfolds with discriminant 1 via singular OG6-varieties
• Integral and adelic aspects of the Mumford-Tate conjecture
• Motivation for Hodge cycles
• Tate conjecture [wikipedia]