Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces

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.

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Autores principales:	Brodie Callum R., Constantin Andrei, Deen Rehan, Lukas Andre
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	line bundle cohomology del pezzo surfaces hirzebruch surfaces 32l10 55n30 19l10 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/4ccd28029fe24ba08e338c5c5c4393c3
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spelling	oai:doaj.org-article:4ccd28029fe24ba08e338c5c5c4393c32021-12-05T14:10:45ZTopological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces2300-744310.1515/coma-2020-0115https://doaj.org/article/4ccd28029fe24ba08e338c5c5c4393c32021-01-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0115https://doaj.org/toc/2300-7443We 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.Brodie Callum R.Constantin AndreiDeen RehanLukas AndreDe Gruyterarticleline bundle cohomologydel pezzo surfaceshirzebruch surfaces32l1055n3019l10MathematicsQA1-939ENComplex Manifolds, Vol 8, Iss 1, Pp 223-229 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	line bundle cohomology del pezzo surfaces hirzebruch surfaces 32l10 55n30 19l10 Mathematics QA1-939
spellingShingle	line bundle cohomology del pezzo surfaces hirzebruch surfaces 32l10 55n30 19l10 Mathematics QA1-939 Brodie Callum R. Constantin Andrei Deen Rehan Lukas Andre Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
description	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.
format	article
author	Brodie Callum R. Constantin Andrei Deen Rehan Lukas Andre
author_facet	Brodie Callum R. Constantin Andrei Deen Rehan Lukas Andre
author_sort	Brodie Callum R.
title	Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
title_short	Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
title_full	Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
title_fullStr	Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
title_full_unstemmed	Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
title_sort	topological formulae for the zeroth cohomology of line bundles on del pezzo and hirzebruch surfaces
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/4ccd28029fe24ba08e338c5c5c4393c3
work_keys_str_mv	AT brodiecallumr topologicalformulaeforthezerothcohomologyoflinebundlesondelpezzoandhirzebruchsurfaces AT constantinandrei topologicalformulaeforthezerothcohomologyoflinebundlesondelpezzoandhirzebruchsurfaces AT deenrehan topologicalformulaeforthezerothcohomologyoflinebundlesondelpezzoandhirzebruchsurfaces AT lukasandre topologicalformulaeforthezerothcohomologyoflinebundlesondelpezzoandhirzebruchsurfaces
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Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces

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