Threefold nature of graded vector bundles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00384836" target="_blank" >RIV/68407700:21340/25:00384836 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.geomphys.2025.105557" target="_blank" >https://doi.org/10.1016/j.geomphys.2025.105557</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2025.105557" target="_blank" >10.1016/j.geomphys.2025.105557</a>

Result language
angličtina
Original language name
Threefold nature of graded vector bundles
Original language description
Graded vector bundles over a given Z-graded manifold can be defined in three different ways: certain sheaves of graded modules over the structure sheaf of the base graded manifold, finitely generated projective graded modules over the algebra of global functions on the base graded manifold, or locally trivial graded manifolds with a suitable linear structure. We argue that all three approaches are the same. More precisely, the respective categories are proved to be equivalent.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF24-10031K" target="_blank" >GF24-10031K: Graded differential geometry with applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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