Index formulae for line bundle cohomology on complex surfaces

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 provide a simple algorithm which allows expression of any line bundle cohomology in terms of an index. These formulae f...

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Bibliographic Details
Main Authors: Brodie, CR, Constantin, A, Deen, R, Lukas, A
Format: Journal article
Language:English
Published: Wiley 2020