TY - BOOK AU - Kato,Goro ED - SpringerLink (Online service) TI - The Heart of Cohomology SN - 9781402050367 AV - QA169 U1 - 512.6 23 PY - 2006/// CY - Dordrecht PB - Springer Netherlands KW - Mathematics KW - Algebraic geometry KW - Category theory (Mathematics) KW - Homological algebra KW - Category Theory, Homological Algebra KW - Algebraic Geometry N1 - CATEGORY -- DERIVED FUNCTORS -- SPECTRAL SEQUENCES -- DERIVED CATEGORIES -- COHOMOLOGICAL ASPECTS OF ALGEBRAIC GEOMETRY AND ALGEBRAIC ANALYSIS N2 - If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family are provided UR - http://dx.doi.org/10.1007/1-4020-5036-4 ER -