RT Journal Article
T1 Almost holomorphic embeddings in Grassmannians with applications to singular symplectic submanifolds
A1 Muñoz, Vicente
A1 Presas, Francisco
A1 Sols Lucía, Ignacio
AB In this paper we use Donaldson's approximately holomorphic techniques to build embeddings of a closed symplectic manifold with symplectic form of integer class in the Grassmannians Gr(r, N). We assure that these embeddings are asymptotically holomorphic in a precise sense. We study first the particular case of CPN obtaining control on N and we improve in a sense a classical result about symplectic embeddings. The main reason of our Study is the construction of singular determinantal submanifolds as the intersection of the embedding with certain "generalized Schubert cycles" defined on a product of Grassmannians. It is shown that the symplectic type of these submanifolds is quite more general that the ones obtained by Donaldson and Auroux,as zeroes of "very ample" vector bundles.
PB Walter de Gruyter & co
SN 0075-4102
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/57718
UL https://hdl.handle.net/20.500.14352/57718
LA eng
DS Docta Complutense
RD 22 abr 2025