Submanifolds with ample normal bundle-Reference-Cited by-同舟云学术

Submanifolds with ample normal bundle

Published:2023-11-07 Issue: Volume: Page:
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Falla Luza Maycol¹,Loray Frank²,Pereira Jorge Vitório³

Affiliation:

1. Universidade Federal Fluminense Rio de Janeiro Brazil

2. Univ Rennes, CNRS IRMAR ‐ UMR 6625 Rennes France

3. IMPA Estrada Dona Castorina Rio de Janeiro Brazil

Abstract

AbstractWe construct germs of complex manifolds of dimension along projective submanifolds of dimension with ample normal bundle and without nonconstant meromorphic functions whenever . We also show that our methods do not allow the construction of similar examples when by establishing an algebraicity criterion for foliations on projective spaces that generalizes a classical result by Van den Ven characterizing linear subspaces of projective spaces as the only submanifolds with split tangent sequence.

Funder

Centre National de la Recherche Scientifique

Centre Henri Lebesgue

Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12955

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