Degeneracy Loci and Grassmannians

1984 ◽  
pp. 242-279
Author(s):  
William Fulton
Keyword(s):  
Degeneracy Loci

scholarly journals Chern–Schwartz–MacPherson classes of degeneracy loci

2018 ◽  
Vol 22 (6) ◽  
pp. 3575-3622 ◽  
Author(s):  
László Fehér ◽  
Richárd Rimányi
Keyword(s):  
Degeneracy Loci

scholarly journals Degeneracy loci of families of Dirac operators

2012 ◽  
Vol 364 (11) ◽  
pp. 5995-6008 ◽  
Author(s):  
Thomas G. Leness
Keyword(s):  
Dirac Operators ◽  
Degeneracy Loci

ON DEGENERACY LOCI

1996 ◽  
Vol 07 (06) ◽  
pp. 745-754 ◽  
Author(s):  
F. LAYTIMI
Keyword(s):  
Degeneracy Loci

Degeneracy Loci and Grassmannians

1998 ◽  
pp. 242-279
Author(s):  
William Fulton
Keyword(s):  
Degeneracy Loci

SINGULAR LOCI IN HOLOMORPHIC FAMILIES

1998 ◽  
Vol 09 (03) ◽  
pp. 277-293
Author(s):  
ADAM HARRIS
Keyword(s):  
Vector Bundles ◽  
A Priori ◽  
Complex Structure ◽  
Compact Complex Manifold ◽  
Entire Family ◽  
Analytic Subset ◽  
Degeneracy Loci ◽  
Singular Spaces ◽  
Singular Loci ◽  
Complex Projective

Let [Formula: see text] be a proper flat morphism between manifolds, and [Formula: see text] an analytic subset, such that the fibres Xt, for all [Formula: see text], determine a locally trivial deformation of a compact complex manifold. Non-generic fibres Xt, for t ∈ A, may be taken a priori to be singular spaces, or to have a smooth complex structure which is biholomorphically distinct from their generic neighbours. The main theorem of this article provides a sufficient condition for local triviality of the entire family [Formula: see text], in terms of the dimension of A and of the singular subvarieties of certain "degeneracy loci" in [Formula: see text]. Several specific applications of the main theorem are subsequently examined, some of which correspond sharply with examples of "structure-jumping" in complex deformations and "jumping loci" of vector bundles on complex projective space.

scholarly journals Degeneracy Loci of Vector Bundle Maps and Ampleness

2002 ◽  
Vol 90 (1) ◽  
pp. 13 ◽  
Author(s):  
Jørgen Anders Geertsen
Keyword(s):  
Vector Bundle ◽  
Degeneracy Loci

scholarly journals Nonemptiness of skew-symmetric degeneracy loci

2005 ◽  
Vol 9 (2) ◽  
pp. 261-271 ◽  
Author(s):  
William Graham
Keyword(s):  
Degeneracy Loci
Sign in / Sign up

Export Citation Format

Share Document