Results 161 to 170 of about 17,373 (192)
PERSISTENT DIRAC OF PATHS ON DIGRAPHS AND HYPERGRAPHS. [PDF]
Found Data SciSuwayyid F, Wei GW.
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Lagrangian Relations and Quantum L ∞ Algebras. [PDF]
Commun Math PhysJurčo B, Pulmann J, Zika M.
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From Geometry of Hamiltonian Dynamics to Topology of Phase Transitions: A Review. [PDF]
Entropy (Basel)Pettini G, Gori M, Pettini M.
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De Rham intersection cohomology for general perversities
, 2005 Martintxo Saralegi-Aranguren
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2003
In Chapter 14, we defined closed and exact differential forms, and showed that every exact form is closed. In this chapter, we explore the converse question: Is every closed form exact? The answer is locally yes, but globally no. The question of which closed forms are exact depends on subtle topological properties of the manifold, connected with the ...
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In Chapter 14, we defined closed and exact differential forms, and showed that every exact form is closed. In this chapter, we explore the converse question: Is every closed form exact? The answer is locally yes, but globally no. The question of which closed forms are exact depends on subtle topological properties of the manifold, connected with the ...
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de Rham cohomology of local cohomology modules II
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2018Let $K$ be an algebraically closed field of characteristic zero, $R = K[x_1, \dots, x_n]$, $I$ be an ideal in $R$ and $A_n(K) = K \langle x_1, \dots, x_n, \partial_1, \dots, \partial_n\rangle$ be the $n$th Weyl algebra over $K$. For a given holonomic left $A_n(K)$-module $N$, let $\partial=\partial_1, \dots, \partial_n$ be pairwise commuting $K$-linear
Puthenpurakal, Tony J. +1 more
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Finiteness of De Rham Cohomology
American Journal of Mathematics, 1972When k = C these groups have topological significance. Grothendieck proved in [1] that HDRt(A) -H$(V;C) where V is the complex manifold attached to A. From this one can see that I"DR (A) is finite dimensional when k C, and the result extends easily to all k of characteristic zero.
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2017
Let k be a field of characteristic zero. We are going to define relative algebraic de Rham cohomology for general varieties over k, not necessarily smooth.
Annette Huber, Stefan Müller-Stach
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Let k be a field of characteristic zero. We are going to define relative algebraic de Rham cohomology for general varieties over k, not necessarily smooth.
Annette Huber, Stefan Müller-Stach
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2001
We turn now from classical vector analysis to a completely different aspect of the calculus of differential forms. Consider the de Rham complex $$0 \to {\Omega ^0}M{\Omega ^1}M \cdots $$ of a manifold M. The property d ο d = 0 means that $$im(d:{\Omega ^{k - 1}}M \to {\Omega ^k}M) \subset \ker (d:{\Omega ^k}M \to {\Omega ^{k + 1}}M)$$ for
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We turn now from classical vector analysis to a completely different aspect of the calculus of differential forms. Consider the de Rham complex $$0 \to {\Omega ^0}M{\Omega ^1}M \cdots $$ of a manifold M. The property d ο d = 0 means that $$im(d:{\Omega ^{k - 1}}M \to {\Omega ^k}M) \subset \ker (d:{\Omega ^k}M \to {\Omega ^{k + 1}}M)$$ for
openaire +1 more source