منابع مشابه
Cubical Version of Combinatorial Differential Forms
The theory of combinatorial differential forms is usually presented in simplicial terms. We present here a cubical version; it depends on the possibility of forming affine combinations of mutual neighbour points in a manifold, in the context of synthetic differential geometry.
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While line bundles endowed with a connection on a scheme X may be entirely described in terms of the cohomology ofX with values in the multiplicative de Rham complex, the theory of connections on a principal bundle P with non-abelian structure group G requires the introduction of differential forms with values in the Lie algebra of G, or of its adjoint group P . From this follow certain complic...
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Differentials are an important topic in algebraic geometry, allowing the use of some classical geometric arguments in the context of varieties over any field. We will use them to define the genus of a curve, and to analyze the ramification of morphisms between curves. Although differentials remain important for arbitrary varieties, we will restrict our treatment to the case of nonsingular varie...
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We’ve hit the big three theorems of vector calculus: Green’s, Stokes’, and the Divergence Theorem (although Green’s theorem is really a pretty obvious special case of Stokes’ theorem). But it’s an amazing fact that all of these theorems are really special cases of an even larger theorem that unifies all that we’ve studied so far. This new theory also extends what we’ve done to spaces of arbitra...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2001
ISSN: 0001-8708
DOI: 10.1006/aima.2001.2013