Momentum maps and the kähler property for base spaces of reductive principal bundles

Autor:	Daniel Greb, Christian Miebach
Přispěvatelé:	Miebach, Christian
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables General Mathematics Mathematik [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV] [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG] FOS: Mathematics Complex Variables (math.CV) Algebraic Geometry (math.AG)
Popis:	We investigate the complex geometry of total spaces of reductive principal bundles over compact base spaces and establish a close relation between the K\"ahler property of the base, momentum maps for the action of a maximal compact subgroup on the total space, and the K\"ahler property of special equivariant compactifications. We provide many examples illustrating that the main result is optimal. Comment: 10 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1ce4d45abd2af01fd09469b88a2d94d https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85162110955 Zobrazit plný text záznamu