Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300952507> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W4300952507 abstract "The classical Hurwitz spaces, that parameterize compact Riemann surfaces equipped with covering maps to ${mathbb P}_1$ of fixed numerical type with simple branch points, are extensively studied in the literature. We apply deformation theory, and present a study of the Kahler structure of the Hurwitz spaces, which reflects the variation of the complex structure of the Riemann surface as well as the variation of the meromorphic map. We introduce a generalized Weil-Petersson Kahler form on the Hurwitz space. This form turns out to be the curvature of a Quillen metric on a determinant line bundle. Alternatively, the generalized Weil-Petersson Kahler form can be characterized as the curvature form of the hermitian metric on the Deligne pairing of the relative canonical line bundle and the pull back of the anti-canonical line bundle on ${mathbb P}_1$. Replacing the projective line by an arbitrary but fixed curve $Y$, we arrive at a generalized Hurwitz space with similar properties. The determinant line bundle extends to a compactification of the (generalized) Hurwitz space as a line bundle, and the Quillen metric yields a singular hermitian metric on the compactification so that a power of the determinant line bundle provides an embedding of the Hurwitz space in a projective space." @default.
- W4300952507 created "2022-10-04" @default.
- W4300952507 creator A5063279705 @default.
- W4300952507 creator A5076767670 @default.
- W4300952507 creator A5091389697 @default.
- W4300952507 date "2015-02-09" @default.
- W4300952507 modified "2023-10-18" @default.
- W4300952507 title "Kahler structure on Hurwitz spaces" @default.
- W4300952507 doi "https://doi.org/10.48550/arxiv.1502.02384" @default.
- W4300952507 hasPublicationYear "2015" @default.
- W4300952507 type Work @default.
- W4300952507 citedByCount "0" @default.
- W4300952507 crossrefType "posted-content" @default.
- W4300952507 hasAuthorship W4300952507A5063279705 @default.
- W4300952507 hasAuthorship W4300952507A5076767670 @default.
- W4300952507 hasAuthorship W4300952507A5091389697 @default.
- W4300952507 hasBestOaLocation W43009525071 @default.
- W4300952507 hasConcept C134306372 @default.
- W4300952507 hasConcept C137134375 @default.
- W4300952507 hasConcept C177846678 @default.
- W4300952507 hasConcept C18556879 @default.
- W4300952507 hasConcept C190333341 @default.
- W4300952507 hasConcept C195065555 @default.
- W4300952507 hasConcept C202444582 @default.
- W4300952507 hasConcept C2524010 @default.
- W4300952507 hasConcept C2779165322 @default.
- W4300952507 hasConcept C2780399754 @default.
- W4300952507 hasConcept C33923547 @default.
- W4300952507 hasConcept C75280867 @default.
- W4300952507 hasConcept C90685605 @default.
- W4300952507 hasConcept C95857938 @default.
- W4300952507 hasConceptScore W4300952507C134306372 @default.
- W4300952507 hasConceptScore W4300952507C137134375 @default.
- W4300952507 hasConceptScore W4300952507C177846678 @default.
- W4300952507 hasConceptScore W4300952507C18556879 @default.
- W4300952507 hasConceptScore W4300952507C190333341 @default.
- W4300952507 hasConceptScore W4300952507C195065555 @default.
- W4300952507 hasConceptScore W4300952507C202444582 @default.
- W4300952507 hasConceptScore W4300952507C2524010 @default.
- W4300952507 hasConceptScore W4300952507C2779165322 @default.
- W4300952507 hasConceptScore W4300952507C2780399754 @default.
- W4300952507 hasConceptScore W4300952507C33923547 @default.
- W4300952507 hasConceptScore W4300952507C75280867 @default.
- W4300952507 hasConceptScore W4300952507C90685605 @default.
- W4300952507 hasConceptScore W4300952507C95857938 @default.
- W4300952507 hasLocation W43009525071 @default.
- W4300952507 hasOpenAccess W4300952507 @default.
- W4300952507 hasPrimaryLocation W43009525071 @default.
- W4300952507 hasRelatedWork W2072278687 @default.
- W4300952507 hasRelatedWork W2075130168 @default.
- W4300952507 hasRelatedWork W2107200314 @default.
- W4300952507 hasRelatedWork W2781060474 @default.
- W4300952507 hasRelatedWork W2798238971 @default.
- W4300952507 hasRelatedWork W2950650967 @default.
- W4300952507 hasRelatedWork W2951298652 @default.
- W4300952507 hasRelatedWork W2951994735 @default.
- W4300952507 hasRelatedWork W4288300574 @default.
- W4300952507 hasRelatedWork W4300952507 @default.
- W4300952507 isParatext "false" @default.
- W4300952507 isRetracted "false" @default.
- W4300952507 workType "article" @default.