Multiplication maps of linear systems on smooth projective toric surfaces
Abstract
Let X be a smooth projective toric surface and L and M two line bundles on X. If L is ample and M is generated by global sections, then we show that the natural map from H0(X,L) tensor H0(X,M) to H0(X, L tensor M) is surjective. We also consider a generalization to the case when M is an arbitrary line bundle with h0(X,M) > 0.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.