Standard canonical support loci
| Autor: | Giuseppe Pareschi |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics Irregular compact Kahler manifolds. Cohomological support loci 01 natural sciences Canonical bundle Algebra Mathematics - Algebraic Geometry 0103 physical sciences FOS: Mathematics Settore MAT/03 - Geometria 010307 mathematical physics 0101 mathematics Algebra over a field Algebraic Geometry (math.AG) Structured program theorem Mathematics |
| Zdroj: | Rendiconti del Circolo Matematico di Palermo (1952 -). 66:137-157 |
| ISSN: | 1973-4409 0009-725X |
| DOI: | 10.1007/s12215-016-0269-3 |
| Popis: | We consider the union of certain irreducible components of cohomological support loci of the canonical bundle, which we call standard. We prove a structure theorem about them and single out some particular cases, recovering and improving results of Beauville and Chen-Jiang. Finally, as an example of application, we extend to compact Kahler manifolds the classification of smooth complex projective varieties with $p_1(X)=1$, $p_3(X)=2$ and $q(X)=\dim X$. Comment: Dedicated to Philippe Ellia on his 60th birthday. To appear on Rend. Circ. Mat. Palermo |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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