https://scholars.lib.ntu.edu.tw/handle/123456789/625096
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Chang C.-H | en_US |
dc.contributor.author | Cheng J.-H | en_US |
dc.contributor.author | I-HSUN TSAI | en_US |
dc.creator | Chang C.-H;Cheng J.-H;Tsai I.-H. | - |
dc.date.accessioned | 2022-11-15T08:47:56Z | - |
dc.date.available | 2022-11-15T08:47:56Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 10506926 | - |
dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122954169&doi=10.1007%2fs12220-021-00774-2&partnerID=40&md5=704c79c8b5fe17d6f32b4abf9d6eaa01 | - |
dc.identifier.uri | https://scholars.lib.ntu.edu.tw/handle/123456789/625096 | - |
dc.description.abstract | Let M be a complex torus, Lμ^→ M be positive line bundles parametrized by μ^ ∈ Pic (M) , and E→ Pic (M) be a vector bundle with E| μ^≅ H(M, Lμ^). We endow the total family {Lμ^}μ^ with a Hermitian metric that induces the L2-metric on H(M, Lμ^) hence on E. Using theta functions {θm}m on M× M as a family of functions on the first factor M with parameters in the second factor M, our computation of the full curvature tensor Θ E of E with respect to this L2-metric shows that Θ E is essentially an identity matrix multiplied by a constant 2-form, which yields in particular the adiabatic curvature c1(E). After a natural base change M→ M^ so that E× M^M: = E′, we obtain that E′ splits holomorphically into a direct sum of line bundles each of which is isomorphic to Lμ^=0∗. © 2021, Mathematica Josephina, Inc. | - |
dc.relation.ispartof | Journal of Geometric Analysis | - |
dc.subject | Connection; Curvature; Poincaré line bundle; Theta functions | - |
dc.title | Theta Functions and Adiabatic Curvature on an Elliptic Curve | en_US |
dc.type | journal article | en |
dc.identifier.doi | 10.1007/s12220-021-00774-2 | - |
dc.identifier.scopus | 2-s2.0-85122954169 | - |
dc.relation.journalvolume | 32 | - |
dc.relation.journalissue | 3 | - |
item.openairetype | journal article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.fulltext | no fulltext | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | Mathematics | - |
crisitem.author.orcid | 0000-0002-6043-1537 | - |
crisitem.author.parentorg | College of Science | - |
顯示於: | 數學系 |
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