6 citations · 6 across the 1 of their papers we have counts for
3 papers
hep-th2020★ 6 cited
Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds
Callum R. Brodie, Andrei Constantin
We determine several classes of smooth complex projective surfaces on which Zariski decomposition can be combined with vanishing theorems to yield cohomology formulae for all line…
hep-th2019
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…
hep-th2019
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…