2023/09/06 by Jonas Baltes, Baltes, Jonas
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Biological Activity of Diterpenoids and Biflavonoids #FOS: Mathematics #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2309.03141
openalex publication_date 2023/09/06 · openalex created_date 2023/09/09 · openalex updated_date 2026/07/28
In this paper we show some Lefschetz-type theorems for the effective cone of Hyperkähler varieties. In particular we are able to show that the inclusion of any smooth ample divisor induces an isomorphism of effective cones. Moreover we deduce a similar statement for some effective exceptional divisors, which yields the computation of the effective cone of e.g. projectivized cotangent bundles and some projectivized Lazarsfeld--Mukai bundles.