Obstruction Theory for Objects in Abelian and Derived Categories

REFERENCES

• Artin , M. , Zhang , J. J. ( 2001 ). Abstract Hilbert schemes . Algebr. Represent. Theory 4 ( 4 ): 305 – 394 . [CSA]
   Web of Science ®Google Scholar
• Bleher , F. M. , Chinburg , T. ( 2002 ). Deformations and derived categories . C. R. Math. Acad. Sci. Paris 334 ( 2 ): 97 – 100 . [CSA]
   Web of Science ®Google Scholar
• Bondal , A. ( 1990 ). Representations of associative algebras and coherent sheaves . Math. USSR-Izv. 34 ( 1 ): 23 – 42 . [CSA]
   Google Scholar
• Bondal , A. , Polishchuk , A. ( 1994 ). Homological properties of associative algebras: the method of helices . Russian Acad. Sci. Izv. Math. 42 : 219 – 260 . [CSA]
   Google Scholar
• Deligne , P. ( 1980 ). La conjecture de Weil II . Inst. Hautes Études Sci. Publ. Math. 52 : 137 – 252 . [CSA]
   Google Scholar
• Huebschmann , J. , Kadeishvili , T. ( 1991 ). Small models for chain algebras . Math Z. 207 : 245 – 280 . [CSA]
   Web of Science ®Google Scholar
• Inaba , M. ( 2002 ). Toward a definition of moduli of complexes of coherent sheaves on a projective scheme . J. Math. Kyoto Univ. 42 ( 2 ): 317 – 329 . [CSA]
   Google Scholar
• Laudal , O. A. ( 1979 ). Formal Moduli of Algebraic Structures . Lecture Notes in Mathematics , Vol. 754 . Berlin , Heidelberg , New York : Springer-Verlag .
   Google Scholar
• Lowen , W. , Van den Bergh , M. ( 2003 ). Deformation Theory of Abelian Categories. To appear in Trans. Amer. Math. Soc. Preprint math.CT/0405226 . [CSA]
   Google Scholar
• Lowen , W. , Van den Bergh , M. ( 2004 ). Hochschild Cohomology of Abelian Categories and Ringed Spaces. To appear in Advances in Math. Preprint math.KT/0405227 . [CSA]
   Google Scholar
• Markl , M. ( 2001 ). Ideal perturbation lemma . Comm. Algebra 29 ( 11 ): 5209 – 5232 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Schlessinger , M. ( 1968 ). Functors of Artin rings . Trans. Amer. Math. Soc. 130 : 208 – 222 . [CSA]
   Web of Science ®Google Scholar
• Schwarz , A. ( 2003 ). Noncommutative supergeometry, duality and deformations . Nuclear Phys. B 650 ( 3 ): 475 – 496 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Van den Bergh , M. Non-Commutative Quadrics . Preprint .
   Google Scholar
• Van den Bergh , M. ( 2001 ) . Non-Commutative ℙ¹-Bundles Over Commutative Schemes . Preprint math.RA/0102005 .
   Google Scholar
• Vistoli , A. ( 1997 ) . The Deformation Theory of Local Complete Intersections . Preprint alg-geom/9703008.
   Google Scholar
• #Communicated by J. Alev. *Aspirant at the FWO.
   Google Scholar