Deformations of algebraic schemes

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How researchers see this paper

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Lectures on K3 Surfaces (2016, unknown): “See the books by Hartshorne, Kollár, and Sernesi [235, 310, 541] for general accounts of deformation theory.”
Topological methods in moduli theory (2014, background): “The Kuranishi theory does indeed extend perfectly to all compact complex spaces, and Kuranishi’s theorem was generalized by Grauert (see [186,187], see also [334] for the algebraic analogue).”
Syzygies and logarithmic vector fields along plane curves (2014, unknown): “We have dim(Vd,n,κ) > d(d+ 3) 2 − n− 2κ, and equality holds if κ < 3d ([23], p.”
Hypersurfaces in projective schemes and a moving lemma (2014, background): “58, (i) (see also [65], step 3 in the proof of Theorem 4.”
The local cohomology of the Jacobian ring (2013, background): “The proposition identifies H m (R(f))d with H (1)(T 〈X〉) which is the space of first order locally trivial deformations of the inclusion X ⊂ P (see [31], §3.”