Moduli
Moduli In theoretical physics, moduli are scalar fields whose different values are ... reason is that the potential energy for moduli is constant, which can be guaranteed, for ... of possible configurations (values) of all these moduli is called the moduli space (that page gives some explanation ...
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Moduli scheme
Moduli scheme In mathematics, a moduli scheme is a moduli space that exists in the category of ... schemes developed by Alexander Grothendieck. Some important moduli problems of algebraic geometry can be satisfactorily ... The more algebraic and abstract approach to moduli problems is to set them up ...
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Formal moduli
Formal moduli In mathematics, formal moduli are an aspect of the theory of moduli spaces (of algebraic varieties or vector bundles ... level of information about deformations, while formal moduli theory can assemble consistent Taylor polynomials to ... formal power series theory. The step to moduli spaces, properly speaking, is an algebraization ...
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Moduli space
Moduli space In algebraic geometry, the moduli problem is to describe the parameters on ... forms come with a 'weight') on a moduli space, that is, a space whose co-ordinates are the moduli. In the case of elliptic curves, there is one modulus, so moduli spaces are algebraic curves. This is ...
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User talk:Moduli
User talk:Moduli Image copyright problem with Image:ManOrAstromanEEVIACPromo.jpg ...
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Category:Moduli theory
Category:Moduli theory Moduli theory is a branch of the fields ... theory. It aims to construct and study moduli spaces, which are the parameter spaces encoding ... category. M Modular forms Pages in category "Moduli theory" There are 11 pages in this ... A Artin approximation theorem D Deligne-Mumford moduli space of curves F Formal moduli ...
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Deligne-Mumford moduli space of curves
Deligne-Mumford moduli space of curves In mathematics, the Deligne-Mumford moduli space of curves is a refined construction of a moduli space of algebraic curves, that is work ... Artin's algebraic stacks, to construct a moduli object (not a scheme), including enough stable ...
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Geometric invariant theory
... to develop a concrete, geometrical theory of moduli spaces of algebraic varieties. The book makes ... in much later research, for example on moduli spaces of vector bundles. The abstract setting ... the set of algebraic objects in some moduli problem. In Chapter 5 he isolates further ... the specific technical problem addressed, in a moduli problem of quite classical type — classify ... and a requisite condition on polarization ). The moduli are supposed to describe the parameter ...
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Covering system
... called distinct (or incongruent) if all the moduli are different (and bigger than 1). The ... incongruent covering system the minimum of whose moduli is at least N? It is easy ... construct examples where the minimum of the moduli in such a system is 2, or ... 3 (Erdős gave an example where the moduli are in the set of the divisors ... an example where the minimum of the moduli is 4 (and the moduli are ...
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Modular equation
... equation is an algebraic equation satisfied by moduli, in the sense of moduli problem. That is, given a number of functions on a moduli space, a modular equation is an equation ... or in other words an identity for moduli. The most frequent use of the term ... modular equation is in relation with the moduli problems for elliptic curves. In that ...
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