The derived Picard group is a locally algebraic group

Algebras and Representation Theory

Volumn 7, Issue 1, 2004, Pages 53-57

  Yekutieli, Amnon ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Locally algebraic group; Picard group

Indexed keywords

EQUIVALENCE CLASSES; GEOMETRY; INVERSE PROBLEMS; TENSORS; THEOREM PROVING;

ABELIAN VARIETY; DERIVED PICARD GROUP; EQUIVALENT ALGEBRA; LOCALLY ALGEBRAIC GROUP;

MATRIX ALGEBRA;

EID: 1842678277     PISSN: 1386923X     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ALGE.0000019383.78214.31     Document Type: Article

References (9)

1. n and problems of linear algebra, Funct. Anal. Appl. 12 (1978), 214-216.
2. Bondal, A. I. and Orlov, D. O.: Reconstruction of a variety from the derived category and groups of autoequivalences, Compositio Math. 125(3) (2001), 327-344.
3. Huisgen-Zimmermann, B. and Saorín, M.: Geometry of chain complexes and outer automorphism groups under derived equivalence, Trans. Amer. Math. Soc. 353(12) (2001), 4757-4777.
4. Miyachi, J. and Yekutieli, A.: Derived Picard groups of finite dimensional hereditary algebras, Compositio Math. 129(3) (2001), 341-368.
5. Orlov, D. O.: On equivalences of derived categories of coherent sheaves on Abelian varieties, Izv. Math. 66(3) (2002), 569-594.
6. Rickard, J.: Derived equivalences as derived functors, J. London Math. Soc. 43 (1991), 37-48.
7. Rouquier, R.: Groupes d'automorphismes et équivalences stables ou dérivées, preprint.
8. Schémas en groupes, Lecture Notes in Math. 151, Springer-Verlag, Berlin, 1970.
9. Yekutieli, A.: Dualizing complexes, Morita equivalence and the derived Picard group of a ring, J. London Math. Soc. 60 (1999), 723-746.