Equivalences of derived categories and K3 surfaces

Journal of Mathematical Sciences

Volumn 84, Issue 5, 1997, Pages 1361-1381

  Orlov, D O ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000439288     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02399195     Document Type: Article

References (13)

1. J. Backelin, "On the rates of growth of the homologies of Veronese subrings," In: Lecture Notes Math., Vol. 1183, Springer-Verlag (1985).
2. n and problems of linear algebra," Funkts. Anal. Prilozh., 12, 68-69 (1978).
3. A. A. Beilinson, J. Bernstein, and P. Deligne, "Faisceaux pervers," Astérisque, 100 (1982).
4. A. I. Bondal and M. M. Kapranov, "Representable functors, Serre functors, and mutations," Izv. Akad. Nauk SSSR, Ser. Mat., 53, 1183-1205 (1989);
5. English transl. in Math. USSR Izv., 35, 519-541 (1990).
6. A. I. Bondal and D. O. Orlov, Semiorthogonal decomposition for algebraic varieties, Preprint MPI/95-15 (see also alg-geom9506012).
7. S. I. Gelfand and Yu. I. Manin, Introduction to Cohomology Theory and Derived Categories [in Russian], Nauka, Moscow (1988).
8. S. P. Inamdar and V. B. Mehta, "Frobenius splitting of Schubert varieties and linear syzygies," Amer. J. Math., 116, No. 6, 1569-1586 (1994).
9. E. Looijenga and C. Peters, "Torelli theorem for Kähler K3 surfaces," Compos. Math., 58, 145-186 (1981).
10. S. Mukai, "Duality between D(X) and D(X̂) with its application to Picard sheaves," Nagoya Math. J., 81, 153-175 (1981).
11. S. Mukai, "On the moduli space of bundles on a K3 surface I," In: Vector Bundles on Algebraic Varieties. Tata Institute of Fundamental Research, Oxford University Press, Bombay-London (1987).
12. V. V. Nikulin, "Integral symmetric bilinear forms and some of their applications," Math. USSR Izv., 14, 103-167 (1980).
13. J. L. Verdier, "Categories derivées," In: Lecture Notes Math., Vol. 569, Springer-Verlag (1977).