Results 21 to 30 of about 63,567 (182)
Let $X$ be a projective manifold of dimension $n$ and $L$ a strictly nef line bundle on $X$. Then $K_X+tL$ is ample if $t > n+1$ in the following cases. 1.) $\text{dim} X = 3$ unless (possibly) $X$ is a Calabi-Yau with $c_2 \cdot L=0$; 2.) $ (X) \ge n-2$; 3.) $\text{dim} (X) \ge n-2$, with $ : X \to A$ the Albanese map.
Campana, F., Chen, J.A., Peternell, T.
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Thirty-nine perfect numbers and their divisors
The following results concerning even perfect numbers and their divisors are proved: (1) A positive integer n of the form 2p−1(2p−1), where 2p−1 is prime, is a perfect number; (2) every even perfect number is a triangular number; (3) τ(n)=2p, where τ(n ...
Syed Asadulla
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Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts
In this paper, sufficient conditions for the existence and construction of nonnegative matrices with prescribed elementary divisors for a list of complex numbers with nonnegative real part are obtained, and the corresponding nonnegative matrices are ...
Hans Nina +3 more
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Uniruled Symplectic Divisors [PDF]
45 ...
Li, Tian-Jun, Ruan, Yongbin
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Huppert and Manz have determined the nonsolvable groups whose character degrees are products of at most two prime numbers. In this paper, we change the condition from “degrees of a group are products of at most two prime divisors” to “degrees of all ...
Shitian Liu, Xingzheng Tang
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Divisors and square-free divisors involving the floor function [PDF]
Let τ(n) (respectively, τ#(n)) be the number of divisors (respectively, square free divisors) of natural number n, and let [t] be the integral part of real number t.
B. Feng, J. Wu
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ON A SUM INVOLVING CERTAIN ARITHMETIC FUNCTIONS ON PIATETSKI–SHAPIRO AND BEATTY SEQUENCES
Let 𝑐, 𝛼, 𝛽 ∈ R be such that ...
T. Srichan
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Remarks on level one conformal blocks divisors [PDF]
We show that conformal blocks divisors of type B_r and D_r at level one are effective sums of boundary divisors of $\bar{M}_{0,n}$. We also prove that the conformal blocks divisor of type $B_r$ at level 1 with weights (\omega_1,\dots,\omega_1) scales ...
Mukhopadhyay, Swarnava
core +3 more sources
We study a novel type of braid groups on a closed orientable surface $ $. These are fundamental groups of certain manifolds that are hybrids between symmetric products and configuration spaces of points on $ $; a class of examples arises naturally in gauge theory, as moduli spaces of vortices in toric fibre bundles over $ $.
Bökstedt, Marcel, Romão, Nuno Miguel
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Let $s(\cdot)$ denote the sum-of-proper-divisors function, that is, $s(n) = \sum_{d\mid n ...
Pollack, Paul +2 more
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