Isomorphisms and automorphisms of multiprojective bundles and symmetric powers of projective bundles

2025/08/22 by Bansal, Ashima, Sarkar, Supravat, Vats, Shivam · 1 citation
#14J59 #14M99 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.16118

Abstract

We describe when two multiprojective bundles (fibre products of projective bundles over the same base) over projective spaces are isomorphic as abstract varieties. We also describe when two relative symmetric powers of projective bundles over projective spaces are isomorphic. Finally, we describe the automorphisms of multiprojective bundles and relative symmetric powers of projective bundles over projective spaces.

Citations

• Symmetric power of higher dimensional varieties
• Isomorphism of Multiprojective Bundles and Projective Towers
• Automorphisms of symmetric powers and motivic zeta functions
• Automorphisms of Certain Projective Bundles over Toric Varieties

Cited by

• Automorphisms of punctual Hilbert schemes and symmetric powers of varieties

Related

• Isomorphism of Multiprojective Bundles and Projective Towers
• Caractérisations des espaces projectifs et des quadriques
• Automorphisms of Certain Projective Bundles over Toric Varieties
• On piecewise isomorphism of some varieties
• Automorphisms of symmetric powers and motivic zeta functions