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determinant of a perfect complex
References
Finn Faye Knudsen? , David Mumford , The projectivity of the moduli space of stable curves. I. Preliminaries on “det” and “Div” . Math. Scand. 39 (1976), no. 1, 19–55. (EuDML , pdf )

Timo Schürg , Bertrand Toën , Gabriele Vezzosi , Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes , arXiv:1102.1150 .

Alexander Beilinson , Topological $\epsilon$ -factors , arXiv:math/0610055 .

Bhargav Bhatt , Peter Scholze , Projectivity of the Witt vector affine Grassmannian , arXiv:1507.06490 .

Fernando Muro , Picard categories, determinant functors and K-theory , talk notes, pdf

appendix A of “Discriminants, Resultants, and Multidimensional Determinants” by Gelfand, Kapranov and Zelevinsky

MO/7124 , Determinant of a perfect complex .

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