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Volumn 124, Issue 2, 2004, Pages 259-307

Flops of G-Hilb and equivalences of derived categories by variation of GIT quotient

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EID: 4644257126     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-04-12422-4     Document Type: Article
Times cited : (87)

References (25)
  • 2
    • 0035632205 scopus 로고    scopus 로고
    • The McKay correspondence as an equivalence of derived categories
    • MR 1824990
    • [BKR] T. BRIDGELAND, A. KING, and M. REID, The McKay correspondence as an equivalence of derived categories. J. Amer. Math. Soc. 14 (2001), 535-554. MR 1824990
    • (2001) J. Amer. Math. Soc. , vol.14 , pp. 535-554
    • Bridgeland, T.1    King, A.2    Reid, M.3
  • 3
    • 0037647611 scopus 로고    scopus 로고
    • A semiregularity map for modules and applications to deformations
    • MR 1985003
    • [BF] R. BUCHWEITZ and H. FLENNER, A semiregularity map for modules and applications to deformations, Compositio Math. 137 (2003), 135-210. MR 1985003
    • (2003) Compositio Math. , vol.137 , pp. 135-210
    • Buchweitz, R.1    Flenner, H.2
  • 4
    • 4644229206 scopus 로고    scopus 로고
    • preprint, arXiv:math.AG/0010053
    • 3, preprint, arXiv:math.AG/0010053
    • 3
    • Craw, A.1
  • 5
    • 4644245004 scopus 로고    scopus 로고
    • Ph.D. dissertation, University of Warwick, Coventry, United Kingdom
    • [C2] -, The McKay correspondence and representations of the McKay quiver, Ph.D. dissertation, University of Warwick, Coventry, United Kingdom, 2001, http://www.math.sunysb.edu/~craw/pubs/
    • (2001) The McKay Correspondence and Representations of the McKay Quiver
  • 7
    • 0031585585 scopus 로고    scopus 로고
    • Orbifold resolution by D-branes
    • MR 1491012
    • [DGM] M. R. DOUGLAS, B. GREENE, and D. R. MORRISON, Orbifold resolution by D-branes, Nuclear Phys. B 506 (1997), 84-106. MR 1491012
    • (1997) Nuclear Phys. B , vol.506 , pp. 84-106
    • Douglas, M.R.1    Greene, B.2    Morrison, D.R.3
  • 9
    • 0009378006 scopus 로고    scopus 로고
    • Intersection theory
    • 2nd ed., Springer, Berlin. MR 1644323
    • [F] W. FULTON, Intersection Theory, 2nd ed., Ergeb. Math. Grenzgeb. (3) 2, Springer, Berlin, 1998. MR 1644323
    • (1998) Ergeb. Math. Grenzgeb. (3) , vol.2
    • Fulton, W.1
  • 11
    • 0001129071 scopus 로고
    • Techniques de construction et thèorémes d'existence en géométrie algebrique, IV: Les schémas de Hilbert
    • Séminaire Bourbaki 1995, exp. no. 221. MR 1611822
    • [G2] -, Techniques de construction et thèorémes d'existence en géométrie algebrique, IV: Les schémas de Hilbert, Astérisque 6 (1995), 249-276, Séminaire Bourbaki 1995, exp. no. 221. MR 1611822
    • (1995) Astérisque , vol.6 , pp. 249-276
  • 12
    • 17244373507 scopus 로고    scopus 로고
    • Derived category automorphisms from mirror symmetry
    • to appear, preprint, arXiv:math.AG/0103231
    • [H] R. P. HORJA, Derived category automorphisms from mirror symmetry, to appear in Duke Math. J., preprint, arXiv:math.AG/0103231
    • Duke Math. J.
    • Horja, R.P.1
  • 13
    • 0003221353 scopus 로고    scopus 로고
    • The geometry of moduli spaces of sheaves
    • Vieweg, Braunschweig, Germany. MR 1450870
    • [HL] D. HUYBRECHTS and M. LEHN, The Geometry of Moduli Spaces of Sheaves, Aspects of Mathematics E31, Vieweg, Braunschweig, Germany, 1997. MR 1450870
    • (1997) Aspects of Mathematics , vol.E31
    • Huybrechts, D.1    Lehn, M.2
  • 14
    • 0034311161 scopus 로고    scopus 로고
    • McKay correspondence Hilbert schemes in dimension three
    • MR 1783852
    • [IN] Y. ITO and H. NAKAJIMA, McKay correspondence and Hilbert schemes in dimension three, Topology 39 (2000), 1155-1191. MR 1783852
    • (2000) Topology , vol.39 , pp. 1155-1191
    • Ito, Y.1    Nakajima, H.2
  • 15
    • 0001875528 scopus 로고
    • Chow quotients of grassmannians, I
    • Adv. Soviet. Math., Amer. Math. Soc., Providence, MR 1237834
    • [K] M. M. KAPRANOV, "Chow quotients of Grassmannians, I" in I. M. Gel'fand Seminar, Adv. Soviet. Math. 16, Part 2, Amer. Math. Soc., Providence, 1993, 29-110. MR 1237834
    • (1993) I. M. Gel'fand Seminar , vol.16 , Issue.PART 2 , pp. 29-110
    • Kapranov, M.M.1
  • 16
    • 0000409101 scopus 로고
    • Moduli of representations of finite-dimensional algebras
    • MR 1315461
    • [Ki] A. D. KING, Moduli of representations of finite-dimensional algebras, Quart. J. Math. Oxford Ser. (2) 45 (1994), 515-530. MR 1315461
    • (1994) Quart. J. Math. Oxford Ser. (2) , vol.45 , pp. 515-530
    • King, A.D.1
  • 17
    • 84972540623 scopus 로고
    • The construction of ALE spaces as hyper-Kähler quotients
    • MR 0992334
    • [Kr] P. KRONHEIMER, The construction of ALE spaces as hyper-Kähler quotients, J. Differential Geom. 29 (1989), 665-683. MR 0992334
    • (1989) J. Differential Geom. , vol.29 , pp. 665-683
    • Kronheimer, P.1
  • 19
    • 0345775317 scopus 로고    scopus 로고
    • Hilbert schemes of abelian group orbits
    • MR 1838978
    • [N] I. NAKAMURA, Hilbert schemes of abelian group orbits, J. Algebraic Geom. 10 (2001), 757-779. MR 1838978
    • (2001) J. Algebraic Geom. , vol.10 , pp. 757-779
    • Nakamura, I.1
  • 22
    • 33744750378 scopus 로고    scopus 로고
    • Braid group actions on derived categories of coherent sheaves
    • MR 1831820
    • [ST] P. SEIDEL and R. THOMAS, Braid group actions on derived categories of coherent sheaves, Duke Math. J. 108 (2001), 37-108. MR 1831820
    • (2001) Duke Math. J. , vol.108 , pp. 37-108
    • Seidel, P.1    Thomas, R.2
  • 23
    • 0037484850 scopus 로고    scopus 로고
    • Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry
    • NATO Sci. Ser. II Math. Phys. Chem. Kluwer Acad. Publ., Dordrecht. MR 1866907
    • [Sz] B. SZENDROI, "Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry" in Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Eilat, Israel, 2001), NATO Sci. Ser. II Math. Phys. Chem. 36, Kluwer Acad. Publ., Dordrecht., 2001, 317-337. MR 1866907
    • (2001) Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Eilat, Israel, 2001) , vol.36 , pp. 317-337
    • Szendroi, B.1
  • 24
    • 0030531127 scopus 로고    scopus 로고
    • Geometric invariant theory and flips
    • MR 1333296
    • [T] M. THADDEUS, Geometric invariant theory and flips, J. Amer. Math. Soc. 9 (1996), 691-723. MR 1333296
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 691-723
    • Thaddeus, M.1
  • 25
    • 33646989217 scopus 로고
    • The Kähler cone on Calabi-Yau threefolds
    • MR 1150602
    • [W] P. WILSON, The Kähler cone on Calabi-Yau threefolds, Invent. Math. 108 (1992), 561-584. MR 1150602
    • (1992) Invent. Math. , vol.108 , pp. 561-584
    • Wilson, P.1


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