Cyclic covering morphisms on M_0,n

2011/05/03 by Maksym Fedorchuk, Fedorchuk, Maksym · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1105.0655

openalex publication_date 2011/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study cyclic covering morphisms from M_0,n to moduli spaces of unpointed stable curves of positive genus or compactified moduli spaces of principally polarized abelian varieties. Our main application is a construction of new semipositive vector bundles and nef divisors on M_0,n, with a view toward the F-conjecture. In particular, we construct new extremal rays of the symmetric nef cone of M_0,n. We also find an alternate description of all sl level 1 conformal blocks divisors on M_0,n.

Citations

• Moduli of Trigonal Curves
• Conformal blocks divisors on M_0,n from sl₂

Cited by

• Scaling of conformal blocks and generalized theta functions over M_g,n

Related

• Delzant models of moduli spaces
• sl_n level 1 conformal blocks divisors on M_0,n
• Cycles on the Moduli Space of Abelian Varieties
• Veronese quotient models of M_0,n and conformal blocks
• Derived categories of symmetric products and moduli spaces of vector bundles on a curve