Nonabelian mixed Hodge structures
| dc.creator | Katzarkov, Ludmil | |
| dc.creator | Pantev, Tony | |
| dc.creator | Simpson, Carlos | |
| dc.date | 2000-06-28 | |
| dc.date.accessioned | 2026-07-07T04:36:08Z | |
| dc.date.available | 2026-07-07T04:36:08Z | |
| dc.description | We propose a definition of ``nonabelian mixed Hodge structure'' together with a construction associating to a smooth projective variety $X$ and to a nonabelian mixed Hodge structure $V$, the ``nonabelian cohomology of $X$ with coefficients in $V$'' which is a (pre-)nonabelian mixed Hodge structure denoted $H=Hom(X_M, V)$. We describe the basic definitions and then give some conjectures saying what is supposed to happen. At the end we compute an example: the case where $V$ has underlying homotopy type the complexified 2-sphere, and mixed Hodge structure coming from its identification with $\pp ^1$. For this example we show that $Hom (X_M,V)$ is a namhs for any smooth projective variety $X$. | |
| dc.description | 126 pages | |
| dc.identifier | https://arxiv.org/abs/math/0006213 | |
| dc.identifier | http://arxiv.org/abs/math/0006213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59494 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Nonabelian mixed Hodge structures | |
| dc.type | text |