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 p1(X) = 1, p3(X) = 2 and q(X) = dim X.
Pareschi, G. (2017). STANDARD CANONICAL SUPPORT LOCI. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 66(1), 137-157 [10.1007/s12215-016-0269-3].
STANDARD CANONICAL SUPPORT LOCI
PARESCHI, GIUSEPPE
2017-04-01
Abstract
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 p1(X) = 1, p3(X) = 2 and q(X) = dim X.File in questo prodotto:
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