Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology and Obstructions II: Curves on K-trivial threefolds   On a threefold with trivial canonical bundle, Kuranishi theory gives an
algebro-geometry construction of the (local analytic) Hilbert scheme of curves
at a smooth holomorphic curve as a gradient scheme, that is, the zero-scheme of
the exterior derivative of a holomorphic function on a (finite-dimensional)
polydisk. (The corresponding fact in an infinite dimensional setting was long
ago discovered by physicists.) An analogous algebro-geometric construction for
the holomorphic Chern-Simons functional is presented giving the local analytic
moduli scheme of a vector bundle. An analogous gradient scheme construction for
Brill-Noether loci on ample divisors is also given. Finally, using a structure
theorem of Donagi-Markman, we present a new formulation of the Abel-Jacobi
mapping into the intermediate Jacobian of a threefold with trivial canonical
bundle.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int