Closed differential forms on moduli spaces of sheaves
Let X be a smooth projective variety, and let M be a moduli space of stable sheaves on X. For any flat family E of coherent sheaves on X parametrized by a smooth scheme Y , and for any integer m, with 1 ≤ m ≤ dim X, we construct a closed differential form Ω=Ω_E on Y with values in H^m(X, O_X). By u...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | article |
| Lenguaje: | EN FR IT |
| Publicado: |
Sapienza Università Editrice
2008
|
| Materias: | |
| Acceso en línea: | https://doaj.org/article/75bffad621b542abb08f3f1eb4677b67 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| id |
oai:doaj.org-article:75bffad621b542abb08f3f1eb4677b67 |
|---|---|
| record_format |
dspace |
| spelling |
oai:doaj.org-article:75bffad621b542abb08f3f1eb4677b672021-11-29T17:10:24ZClosed differential forms on moduli spaces of sheaves1120-71832532-3350https://doaj.org/article/75bffad621b542abb08f3f1eb4677b672008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(2)/139-162.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350Let X be a smooth projective variety, and let M be a moduli space of stable sheaves on X. For any flat family E of coherent sheaves on X parametrized by a smooth scheme Y , and for any integer m, with 1 ≤ m ≤ dim X, we construct a closed differential form Ω=Ω_E on Y with values in H^m(X, O_X). By using the vector-valued differential form Ω we then prove that the choice of a (non-zero) differential m-form σ on X, σ ∈ H^0(X, Ω_m^X ), determines, in a natural way, a closed differential m-form Ω_σ on M.Francesco BottacinSapienza Università Editricearticleclosed formsdifferential formsmoduli spaces of sheavesvector bundlesMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 2, Pp 139-162 (2008) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN FR IT |
| topic |
closed forms differential forms moduli spaces of sheaves vector bundles Mathematics QA1-939 |
| spellingShingle |
closed forms differential forms moduli spaces of sheaves vector bundles Mathematics QA1-939 Francesco Bottacin Closed differential forms on moduli spaces of sheaves |
| description |
Let X be a smooth projective variety, and let M be a moduli space of
stable sheaves on X. For any flat family E of coherent sheaves on X parametrized by a smooth scheme Y , and for any integer m, with 1 ≤ m ≤ dim X, we construct a closed differential form Ω=Ω_E on Y with values in H^m(X, O_X). By using the vector-valued differential form Ω we then prove that the choice of a (non-zero) differential m-form σ on X, σ ∈ H^0(X, Ω_m^X ), determines, in a natural way, a closed differential m-form Ω_σ on M. |
| format |
article |
| author |
Francesco Bottacin |
| author_facet |
Francesco Bottacin |
| author_sort |
Francesco Bottacin |
| title |
Closed differential forms on moduli spaces of sheaves |
| title_short |
Closed differential forms on moduli spaces of sheaves |
| title_full |
Closed differential forms on moduli spaces of sheaves |
| title_fullStr |
Closed differential forms on moduli spaces of sheaves |
| title_full_unstemmed |
Closed differential forms on moduli spaces of sheaves |
| title_sort |
closed differential forms on moduli spaces of sheaves |
| publisher |
Sapienza Università Editrice |
| publishDate |
2008 |
| url |
https://doaj.org/article/75bffad621b542abb08f3f1eb4677b67 |
| work_keys_str_mv |
AT francescobottacin closeddifferentialformsonmodulispacesofsheaves |
| _version_ |
1718407231454576640 |