In diesem Oberseminar werden Anwendungen von Multiplikatoridealen in der Algebraischen
Geometrie und in der Komplexen Analysis behandelt.
Vorträge
| |
Thema |
Literatur |
Umfang |
| 1 |
Asymptotic multiplier ideal sheaves |
[1, p. 77-84] |
1 |
| 2 |
Some applications (Multiplicativity of plurigenera etc.) |
[1, p. 85-91] |
1 |
| 3 |
Stable base loci of linear series |
[7,8] |
1-2 |
| 4 |
Currents, Lelong Numbers and Intersection Theory |
[2, p. 13-21] |
1 |
| 5 |
Singular hermitian metrics, curvature and vanishing theorems |
[2, p. 22-47] |
1 |
| 6 |
On the volume of a line bundle |
[3] |
1 |
| 7 |
Invariance of plurigenera |
[4] |
1 |
| 8 |
Generalized Kodaira embedding |
[5] |
1-2 |
Literatur
[1] R. Lazarsfeld. Multiplier Ideals for Algebraic Geometers
[2] J.-P. Demailly. Transcendental Methods in Algebraic Geometry, alg-geom/9410022
[3] S. Bouksom. On the volume of a line bundle, preprint
[4] Y.-T. Siu, Invariance of plurigenera, alg-geom/9712016
[5] G. Schumacher, H. Tsuji, Quasiprojecitivity of Moduli Spaces, math.AG/0111144
[7] M. Nakamaye: Stable base loci of linear series. Math. Ann. 318, 837-847 (2000)
[8] M. Nakamaye: Base loci of linear series are numerically determined. Preprint, math.AG/0204284
Termin
Dienstags, 16-18 Uhr
Seminarraum I (Ebene A3, Lahnberge)
Beginn: 22. Oktober 2002