RT Journal Article
T1 Weakly Lefschetz symplectic manifolds.
A1 Fernández, M.
A1 Muñoz, Vicente
A1 Ugarte, L.
AB For a symplectic manifold, the harmonic cohomology of symplectic divisors (introduced by Donaldson, 1996) and of the more general symplectic zero loci (introduced by Auroux, 1997) are compared with that of its ambient space. We also study symplectic manifolds satisfying a weakly Lefschetz property, that is, the s–Lefschetz property. In particular, we consider the symplectic blow-ups CPm of the complex projective space CPm along weakly Lefschetz symplectic submanifolds M ⊂ CPm. As an application weconstruct, for each even integer s ≥ 2, compact symplectic manifolds which are s–Lefschetz but not (s + 1)–Lefschetz.
PB American Mathematical Society
SN 0002-9947
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/50607
UL https://hdl.handle.net/20.500.14352/50607
LA eng
NO MCyT
NO UPV
NO UPV
DS Docta Complutense
RD 10 abr 2025