Verbitski, M. (2005) Wirtinger numbers and holomorphic symplectic immersions. Selecta Mathematica - New Series, 10(4), pp. 551-559. (doi: 10.1007/s00029-004-0268-7)
Full text not currently available from Enlighten.
Abstract
For any subvariety of a compact holomorphic symplectic Kähler manifold, we define the symplectic Wirtinger number W(X). We show that W (X) ≤ 1 and the equality is reached if and only if the subvariety XCM is trianalytic, i.e. compatible with the hyperkähler structure on M. For a sequence X1 → X2 →...Xn → M of immersions of simple holomorphic symplectic manifolds, we show that W(X1) ≤ W (X2) ≤...≤ W(Xn).
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Verbitski, Dr Mikhail |
| Authors: | Verbitski, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Selecta Mathematica - New Series |
| ISSN: | 1022-1824 |
| ISSN (Online): | 1420-9020 |
University Staff: Request a correction | Enlighten Editors: Update this record
Funder and Project Information
Funder and Project Information