Fetching the paper…
Reading the bibliography…
We give a universal approach to the deformation-obstruction theory of objects of the derived category of coherent sheaves over a smooth projective family.
L. Illusie, Complexe cotangent et déformations I , Lecture Notes Math. 239, Springer (1971)
1971
Earlier work this paper cites.
K. Behrend, B. Fantechi, The intrinsic normal cone , Invent. Math. 128 (1997), 45–88. alg-geom/9601010
1997
Earlier work this paper cites.
J. Li, G. Tian, Virtual moduli cycles and Gromov–Witten invariants of algebraic varieties , J. Amer. Math. Soc. 11 (1998), 119–174. alg-geom/9602007
1998
Earlier work this paper cites.
R. P. Thomas. A holomorphic Casson invariant for Calabi–Yau 3-folds, and bundles on K 3 K3 fibrations , J. Diff. Geom., 54 (2000), 367–438. math.AG/9806111
2000
Earlier work this paper cites.
M. Inaba, Toward a definition of moduli of complexes of coherent sheaves on a projective scheme , J. Math. Kyoto Univ. 42 (2002), 317–329
2002
Earlier work this paper cites.
R.-O. Buchweitz, H. Flenner, A Semiregularity Map for Modules and Applications to Deformations , Compositio Math. 137 (2003), 135–210. math.AG/9912245
2003
Earlier work this paper cites.
W. Lowen, Obstruction theory for objects in abelian and derived categories , Comm. Algebra 33 (2005), 3195–3223. math.KT/0407019
2005
Cited alongside, same era.
D. Huybrechts, R. P. Thomas, ℙ \mathbb{P} –objects and autoequivalences of derived categories , Math. Res. Lett. 13 (2006), 87–98. math.AG/0507040
2006
Cited alongside, same era.
M. Lieblich, Moduli of complexes on a proper morphism , J. Alg. Geom. 15 (2006), 175–206. math.AG/0502198
2006
Cited alongside, same era.
D. Maulik, N. Nekrasov, A. Okounkov, R. Pandharipande, Gromov–Witten theory and Donaldson–Thomas theory. I , Compos. Math. 142 (2006), 1263–1285. math.AG/0312059
2006
Cited alongside, same era.
R.-O. Buchweitz, H. Flenner, The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah–Chern character . Adv. Math. 217 (2008), 243–281. math.AG/0606730
K. Behrend, Donaldson–Thomas invariants via microlocal geometry , Ann. Math. 170 (2009), 1307–1338. math.AG/0507523
2009
Closest in time.
2009
Closest in time.
2009
Closest in time.
2009
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2008
Cited alongside, same era.
D. Joyce, Configurations in abelian categories. IV. Invariants and changing stability conditions , Adv. Math. 217 (2008), 125–204. math.AG/0410268
2008
Cited alongside, same era.
Cited in the paper.
2013
Closest in time.