no. 3
Derived quot schemes
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 34 (2001) no. 3, pp. 403-440 
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     author = {Ciocan-Fontanine, Ionu\c{t} and Kapranov, Mikhail},
     title = {Derived quot schemes},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {403--440},
     year = {2001},
     publisher = {Elsevier},
     volume = {Ser. 4, 34},
     number = {3},
     doi = {10.1016/s0012-9593(01)01064-3},
     mrnumber = {1839580},
     zbl = {1050.14042},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/s0012-9593(01)01064-3/}
}
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Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail. Derived quot schemes. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 34 (2001) no. 3, pp. 403-440. doi: 10.1016/s0012-9593(01)01064-3

[1] Bousfield A.K., Gugenheim V.K.A.M., On PL de Rham theory and rational homotopy type, Mem. Amer. Math. Soc. 179 (1976). | Zbl | MR

[2] Ciocan-Fontanine I., Kapranov M., Derived Hilbert schemes, preprint Math.AG/0005155.

[3] Fulton W., Intersection Theory, Springer-Verlag, 1984. | Zbl | MR

[4] Gotzmann G., Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes, Math. Z. 158 (1978) 61-70. | Zbl | MR

[5] Grothendieck A., Techniques de construction et théorèmes d'existence en géometrie algébrique IV: Les schémas de Hilbert, Séminaire Bourbaki 221 (1960/61). | Zbl | Numdam

[6] Grothendieck A., Verdier J.-L., Préfaisceaux (SGA4 Exp. I), Lecture Notes in Mathematics, 269, Springer-Verlag, Berlin, 1972. | Zbl | MR

[7] Hinich V., Dg-coalgebras as formal stacks, preprint math.AG/9812034.

[8] Husemoller D., Moore J., Stasheff J., Differential homological algebra and homogeneous spaces, J. Pure Appl. Algebra 5 (1975) 113-185. | Zbl | MR

[9] Kapranov M., Injective resolutions of BG derived moduli spaces of local systems, preprint alg-geom/9710027, to appear in J. Pure Appl. Alg. | Zbl | MR

[10] Kapranov M., Rozansky-Witten invariants via Atiyah classes, Compositio Math. 115 (1999) 71-113. | Zbl

[11] Kollár J., Rational Curves on Algebraic Varieties, Springer-Verlag, 1996. | Zbl | MR

[12] Kontsevich M., Enumeration of rational curves via torus actions, in: Dijkgraaf R., Faber C., Van Der Geer G. (Eds.), The Moduli Space of Curves, Progress in Math., 129, Birkhäuser, Boston, 1995, pp. 335-368. | Zbl | MR

[13] Lehmann D., Théorie homotopique des formes différentielles (d'après D. Sullivan), Astérisque 45 (1977). | Zbl | MR

[14] Loday J.-L., Cyclic Homology, Springer-Verlag, 1995. | Zbl | MR

[15] Markl M., A cohomology theory for A(m)-algebras and applications, J. Pure Appl. Alg. 83 (1992) 141-175. | Zbl | MR

[16] Mccleary J., User's Guide to Spectral Sequences, Math. Lecture Ser., 12, Publish or Perish, Wilmington, DE, 1985. | Zbl | MR

[17] Mumford D., Lectures on Curves on an Algebraic Surface, Princeton Univ. Press, Princeton, NJ, 1966. | Zbl | MR

[18] Quillen D., Homotopical Algebra, Lecture Notes in Math., 43, Springer-Verlag, Berlin, 1967. | Zbl | MR

[19] Quillen D., Rational homotopy theory, Ann. Math. 90 (1969) 205-295. | Zbl | MR

[20] Rezk C., Spaces of algebra structures and cohomology of operads, Thesis, MIT, 1996.

[21] Serre J.-P., Faisceaux algébriques cohérents, Ann. of Math. 61 (1955) 197-278. | Zbl | MR

[22] Simpson C., Descente pour les n-champs, preprint math.AG/9807049.

[23] Stasheff J.D., Homotopy associativity of H-spaces I, II, Trans. Amer. Math. Soc. 108 (1963) 275-312. | Zbl | MR

[24] Stasheff J.D., Differential graded Lie algebras, quasi-Hopf algebras and higher homotopy algebras, in: Kulish P.P. (Ed.), Quantum Groups, Lecture Notes Math., 1510, Springer-Verlag, 1992, pp. 120-137. | Zbl | MR

[25] Viehweg E., Quasi-projective Moduli for Polarized Manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 30, Springer-Verlag, Berlin, 1995. | Zbl | MR

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