Author:
Cheong Daewoong,Choe Insong,Hitching George H.
Abstract
AbstractLet C be a complex projective smooth curve and W a symplectic vector bundle of rank 2n over C. The Lagrangian Quot scheme $$LQ_{-e}(W)$$
L
Q
-
e
(
W
)
parameterizes subsheaves of rank n and degree $$-e$$
-
e
which are isotropic with respect to the symplectic form. We prove that $$LQ_{-e}(W)$$
L
Q
-
e
(
W
)
is irreducible and generically smooth of the expected dimension for all large e, and that a generic element is saturated and stable.
Funder
OsloMet - Oslo Metropolitan University
Publisher
Springer Science and Business Media LLC
Cited by
2 articles.
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1. The virtual intersection theory of isotropic Quot schemes;Journal of Geometry and Physics;2024-04
2. Picard Groups of Some Quot Schemes;International Mathematics Research Notices;2024-02-22