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arXiv · 2306.12750

Slicing up multigraded linear series

Ádám Gyenge·Balázs Szendrői
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Abstract

Multigraded linear series generalize the classical morphism to the linear series of a basepoint-free line bundle on a scheme. We investigate the collection of the natural cornering morphisms into elementary bigraded linear series obtained from direct summands of the original globally generated vector bundle. Our main result is a condition on the injectivity of the product morphism. We apply our result in two examples: modules over the reconstruction algebra and equivariant Hilbert and Quot schemes of quotient stacks.

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Ádám Gyenge, Balázs Szendrői. 2023-06-22. Slicing up multigraded linear series. https://arxiv.org/abs/2306.12750

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