Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects
The paper under review is of very high quality. The authors study the properties of twisted cubics in relation to moduli spaces and Bridgeland stability. Its main results concern a series of isomorphisms between the blowup of a twisted cubic and certain component of the moduli space (of Gieseker stable sheaves), and are clearly stated and rigorously proved. These results are also related to previous works in rational curves and Kuznetsov component of the derived category of coherent sheaves, and have the potential to be applied to problems in moduli spaces and the study of stable sheaves. The paper is also well written, providing relevant background or references when needed. The reviewer would definitely recommend this paper for researchers in this field.
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