119 citations · 767 across the 44 of their papers we have counts for
3 papers · 1 filter
Index Formulae for Line Bundle Cohomology on Complex Surfaces
Callum R. Brodie, Andrei Constantin, Rehan Deen +1
We conjecture and prove closed-form index expressions for the cohomology dimensions of line bundles on del Pezzo and Hirzebruch surfaces. Further, for all compact toric surfaces we…
Machine Learning Line Bundle Cohomology
Callum R. Brodie, Andrei Constantin, Rehan Deen +1
We investigate different approaches to machine learning of line bundle cohomology on complex surfaces as well as on Calabi-Yau three-folds. Standard function learning based on simp…
Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
Callum R. Brodie, Andrei Constantin, Rehan Deen +1
We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.