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Perfect complex information


In algebra, a perfect complex of modules over a commutative ring A is an object in the derived category of A-modules that is quasi-isomorphic to a bounded complex of finite projective A-modules. A perfect module is a module that is perfect when it is viewed as a complex concentrated at degree zero. For example, if A is Noetherian, a module over A is perfect if and only if it is finitely generated and of finite projective dimension.

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Perfect complex

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perfect complex of modules over a commutative ring A is an object in the derived category of A-modules that is quasi-isomorphic to a bounded complex of...

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Perfect Dark

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Perfect Dark is a 2000 first-person shooter developed and published by Rare for the Nintendo 64. The first game of the Perfect Dark series, it follows...

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Perfect Blue

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Perfect Blue (Japanese: パーフェクトブルー, Hepburn: Pāfekuto Burū) is a 1997 Japanese anime psychological thriller film directed by Satoshi Kon. It is loosely...

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Cotangent complex

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choice of V, and for a smoothable complete intersection morphism, this complex is perfect. Furthermore, if g : Y → Z is another smoothable complete intersection...

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Perfect number

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In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number...

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Nirvana fallacy

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the tendency to assume there is a perfect solution to a particular problem. A closely related concept is the "perfect solution fallacy". By creating a...

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Demona

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Funko and NECA. The Mary Sue's Jessica Mason described Demona as the "perfect complex villain," writing "Oftentimes, villains are one-note and not nuanced...

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Perfect mirror

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In optics, a perfect mirror is a mirror that reflects light (and electromagnetic radiation in general) perfectly, and does not transmit or absorb it....

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Perfect competition

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equilibrium theory, a perfect market, also known as an atomistic market, is defined by several idealizing conditions, collectively called perfect competition,...

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Perfect Dark Zero

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Perfect Dark Zero is a first-person shooter developed by Rare and published by Microsoft Game Studios. It was released as a launch title for the Xbox...

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WordPerfect

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WordPerfect (WP) is a word processing application, now owned by Alludo, with a long history on multiple personal computer platforms. At the height of...

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Triangulated category

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a scheme, is a perfect complex. In the case of a smooth projective variety X over a field, the category Perf(X) of perfect complexes can also be viewed...

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Holly Smale

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and a brother. 2019 Happy Girl Lucky 2020 Far From Perfect 2021 Love Me Not The Cassandra Complex, an adult novel with an autistic woman as protagonist...

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Pitch Perfect 2

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Pitch Perfect 2 is a 2015 American musical comedy film directed and produced by Elizabeth Banks (in her feature directorial debut, not counting her part...

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Oedipus complex

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be a perfect mirror of male sexuality. Castration anxiety Family romance Feminism and the Oedipus complex Jocasta complex Madonna–whore complex Polymorphous...

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Perfect field

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In algebra, a field k is perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over k has no multiple roots in...

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Perfect fourth

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encompassing four staff positions in the music notation of Western culture, and a perfect fourth (Play) is the fourth spanning five semitones (half steps, or half...

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Derived noncommutative algebraic geometry

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D^{b}(X)} , called its derived category, or the derived category of perfect complexes on an algebraic variety, denoted D perf ( X ) {\displaystyle D_{\operatorname...

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Pitch Perfect 3

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Pitch Perfect 3 is a 2017 American musical comedy film directed by Trish Sie and written by Kay Cannon and Mike White. It is set after the events of Pitch...

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Medusa complex

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between an idealised, perfect state and the actual reality of one's feelings and emotions. Marjorie Garber saw the Medusa Complex pervading Macbeth in...

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Solved game

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the first player will win, lose or draw from the initial position, given perfect play on both sides. This can be a non-constructive proof (possibly involving...

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Perfect group

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special linear group over the real and complex numbers is perfect, but the general linear group GL is never perfect (except when trivial or over F 2 {\displaystyle...

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