Wirtinger numbers and holomorphic symplectic immersions
| dc.creator | Verbitsky, Misha | |
| dc.date | 1998-12-14 | |
| dc.date | 1999-09-27 | |
| dc.date.accessioned | 2026-07-07T05:27:13Z | |
| dc.date.available | 2026-07-07T05:27:13Z | |
| dc.description | For any subvariety of a compact holomorphic symplectic Kaehler manifold, we define the number W(X), which we call Wirtinger number. We show that $W(X)\leq 1$, and the equality is reached if and only if the subvariety $X\subset M$ is trianalytic, i. e. compactible with the hyperkaehler structure on M. For a sequence $X_1 \arrow X_2 \arrow ... X_n\arrow M$ of immersions of simple holomorphic symplectic manifolds, we show that $W(X_1) \leq W(X_2) \leq >... \leq W(X_n)$. | |
| dc.description | minor corrections - September 1999; 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/9812077 | |
| dc.identifier | http://arxiv.org/abs/math/9812077 | |
| dc.identifier | Selecta Math. (N.S.) 10 (2004), no. 4, 551--559. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77841 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | Wirtinger numbers and holomorphic symplectic immersions | |
| dc.type | text |