Oberseminar »Komplexe Geometrie«
(Graduiertenseminar)
WS 2002/2003

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] 
2 Some applications (Multiplicativity of plurigenera etc.)  [1, p. 85-91] 
3 Stable base loci of linear series [7,8] 1-2 
4 Currents, Lelong Numbers and Intersection Theory  [2, p. 13-21] 
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

Prof. Dr. Th. Bauer   Prof. Dr. G. Schumacher
Philipps-Universität Marburg   Fachbereich Mathematik und Informatik

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