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For a Calabi-Yau manifold X the following proposition shows that if X admits a ‘special’ K¨ahler form in the sense that the top power of any harmonic (1, 1)-form is harmonic, then X
This paper shows the equivalence of various integer functions to the integer sequence A002620, and to the maximum of the product of certain pairs of combinatorial or graph-
As Ω in Lemma 3.1 becomes large, we can have a considerable but finite number of fundamental solutions belonging to different classes that satisfy the bounds.. We will see that
In the previous work [1], the author showed a new kind of convolution product called the B-product defined as follows.. product and has a nonempty intersection with the ψ-product
Note that from Propositions 11 and 12 it follows that if q is a perfect Leibniz algebra, then the second Leibniz homology K -spaces with trivial coefficients of the stem extension of
Proof: Since over a regular ring every submodule (of any module) is pure (Lemma 3), the result follows from Theorem 4.. As a final application we give a variation of a result due
Now since q preserves limits as well as colimits (by Proposition 2.4), it follows from Theorem 2.2 that the equifier subcategory inside the category of coalgebras is a
The graph is constructed as follows: (1) The graph is initialized with one node that corresponds to the initial brick; (2) each time a brick is deposited, a node is added to the