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Kodaira dimension of symmetric powers
- Source :
- Proceedings of the American Mathematical Society. 131:1369-1372
- Publication Year :
- 2002
- Publisher :
- American Mathematical Society (AMS), 2002.
-
Abstract
- In this short note, we determine the Kodaira dimension and some of the plurigenera of (a desingularization of) a symmetric power of a smooth projective variety. We use it to obtain bounds on the genus of curve passing through a fixed number of general points.<br />4 pages, latex
- Subjects :
- Pure mathematics
Mathematics::Complex Variables
Applied Mathematics
General Mathematics
Mathematical analysis
MathematicsofComputing_GENERAL
Complex dimension
Algebraic geometry
Mathematics - Algebraic Geometry
Mathematics::Algebraic Geometry
Genus (mathematics)
FOS: Mathematics
Kodaira dimension
Algebraic Geometry (math.AG)
Mathematics::Symplectic Geometry
Complex number
Projective variety
Mathematics
Subjects
Details
- ISSN :
- 10886826 and 00029939
- Volume :
- 131
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi.dedup.....4d5e9d5c5f55dff85ece0e7302831adb