Derived categories of twisted sheaves on elliptic threefolds

Journal fur die Reine und Angewandte Mathematik

Volumn , Issue 544, 2002, Pages 161-179

  Cǎldǎraru, Andrei ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17644438301     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2002.022     Document Type: Article

References (32)

1. Bayer, D., Stillman, M., Macaulay: A system for computation in algebraic geometry and commutative algebra, 1982-1994. Source and object code available for Unix and Macintosh computers. Contact the authors, or download from math.harvard.edu via anonymous ftp.
2. Bondal, A., Ortov, D., Semiorthogonal decompositions for algebraic varieties, preprint, alg-geom/9506012.
3. Bridgeland, T., Equivalences of triangulated categories and Fourier-Mukai transforms, Bull. London Math. Soc. 31 (1999), no. 1, 25-34.
4. Bridgeland, T., Fourier-Mukai transforms for elliptic surfaces, J. reine angew. Math. 498 (1998), 115-133.
5. Bridgeland, T., Maciocia, A., Fourier-Mukai transforms for K3 fibrations, preprint, alg-geom/9908022.
6. Cǎldǎraru, A., Derived Categories of Twisted Sheaves on Calabi-Yau Manifolds, Ph.D. thesis, Cornell University 2000, http://www.math.umass.edu/̃andreic/thesis/maincorn.pdf.
7. Cǎldǎraru, A., Derived categories of twisted sheaves, in preparation.
8. Cǎldǎraru, A., Counterexamples to Torelli via Fourier-Mukai Transforms, in preparation.
9. Chatterjee, D. S., On the construction of abelian gerbs, Ph.D. thesis, Cambridge 1998.
10. Cossec, F., Dolgachev, I., Enriques Surfaces I, Birkhäuser, Boston 1989.
11. Dolgachev, I., Gross, M., Elliptic three-folds I: Ogg-Shafarevich theory, J. Alg. Geom. 3 (1994), 39-80.
12. Eisenbud, D., Popescu, S., Walter, C., Enriques surfaces and other non-Pfaffian subcanonical subschemes of codimension 3, MSRI preprint 037 (1999).
13. Giraud, J., Cohomologie non-abélienne, Springer Grundl. Math. Wiss. 179 (1971).
14. Gross, M., Finiteness theorems for elliptic Calabi-Yau threefolds, Duke Math. J. 74, No. 2 (1994), 271-299.
15. Grothendieck, A., Le groupe de Brauer I-III, in: Dix Exposés sur la Cohomologie des Schémas, North-Holland, Amsterdam (1968), 46-188.
16. Hartshorne, R., Algebraic Geometry, Springer Grad. Texts Math. 52 (1977).
17. Hartshorne, R., Residues and Duality, Springer Lect. Notes Math. 20 (1966).
18. Hitchin, N. J., Lectures on Special Lagrangian Submanifolds, Lectures given at the ICTP School on Differential Geometry, April 1999, preprint, math.DG/9907034.
19. Huybrechts, D., Lehn, M., Geometry of Moduli Spaces of Sheaves, Asp. Math. E31, Vieweg (1997).
20. Kapranov, M. M., On the derived category and K-functor of coherent sheaves on intersections of quadrics, Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988), no. 1, 186-199; translation in Math. USSR-Izv. 32 (1989), no. 1, 191-204.
21. Kapranov, M. M., On the derived category and K-functor of coherent sheaves on intersections of quadrics, Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988), no. 1, 186-199; translation in Math. USSR-Izv. 32 (1989), no. 1, 191-204.
22. Kapustin, A., Orlov, D., Vertex algebras, mirror symmetry, and D-branes: the case of complex tori, preprint, hep-th/0010293.
23. Kontsevich, M., Homological algebra of mirror symmetry, Proceedings of the 1994 International Congress of Mathematicians I, Birkhäuser, Zürich 1995.
24. Milne, J. S., Étale Cohornology, Princeton Math. Ser. 33 (1980).
25. Miranda, R., Smooth models for elliptic threefolds. in: Birational Geometry of Degenerations, Birkhäuser (1983), 85-133.
26. Mukai, S., Duality between D(X) and D(X̂) with its application to Picard sheaves, Nagoya Math. J. 81 (1981), 153-175.
27. Mukai, S., On the moduli space of bundles on K3 surfaces, I., in: Vector Bundles on Algebraic Varieties, Oxford University Press (1987), 341-413.
28. Oda, T., Seshadri, C. S., Compactifications of the generalized Jacobian variety, Trans. Amer. Math. Soc. 253 (1979), 1-90.
29. Polishchuk, A., Symplectic biextensions and a generalization of the Fourier-Mukai transform, Math. Res. Lett. 3 (1996), no. 6, 813-828.
30. Rosenberg, A. L., The spectrum of abelian categories and reconstruction of schemes, in: Algebraic and Geometric Methods in Ring Theory, Marcel Dekker, Inc., New York (1998), 255-274.
31. Simpson, C. T., Moduli of representations of the fundamental group of a smooth projective variety, I, Publ. Math. IHES 79 (1994), 47-129.
32. Yekuteli, A., private communication.