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Showing 1 to 20 of 48 for “"Divisors"”.
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Numerical properties of pseudo-effective divisors
… of the numerical dimension to pseudo-effective divisors in [Nak04] and [BDPP04]. We show that these proposed definitions coincide and agree with many other natural notions. Just as in the nef case, the numerical dimension v(L) of a pseudo-effective divisor L should measure the maximum dimension …
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Characterizing Zero Divisors of Group Rings
… To determine this we will need to know the zero divisors for the group ring 𝑘𝐺. Our investigations will be divided into two cases, namely when the characteristic of the field 𝑘 is the same as the prime p for the Prüfer group and when it is different.
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Non-integrated Defect Relations for General Divisors
… a projective variety that intersects general divisors properly. This is achieved by incorporating the beta constants into the defect relation. The second pertains to holomorphic maps from a complete open Riemann surface into a smooth projective variety, intersecting a generic smooth …
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On the variety of special divisors and moduli,
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1973
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On Prime Generation Through Primitive Divisors Of Recurrence Sequences
… an infinite number of terms with primitive divisors.
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Zero Divisors, Group Von Neumann Algebras and Injective Modules
In this thesis we discuss linear dependence of translations which is intimately related to the zero divisor conjecture. We also discuss the square integrable representations of the generalized Wyle-Heisenberg group in 𝑛² dimensions and its relations with Gabor's question from Gabor Analysis in the …
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Localization of Divisors of Integers and of Some Arithmetic Functions
… of positive integers n ≤ x having exactly two divisors in ( y, z], in the range of y10 ≤ z ≤ x1/3, and that of the function H3(x, y, z), the number of positive integers n ≤ x having exactly three divisors in ( y, z], in the range of y10 ≤ z ≤ x1/4. Next, we introduce a new …
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Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences
… Convex symplectic manifolds, symplectic divisors and Lagrangians are central objects to study on the symplectic side. The focus of the thesis is to establish relations of these symplectic objects to the corresponding complex analytic objects, namely Stein fillings, divisors and coherent …
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Perfect numbers and other numbers defined by the sum of their divisors
… numbers are defined in terms of the sum of the divisors function. The history and the discovery of perfect numbers is discussed, and the question of the existence of an odd perfect number is considered. There is a discussion of amicable pairs and multiply perfect numbers. Other numbers which are …
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Characterizations Of Zero Divisor Graphs Determined By Equivalence Classes Of Zero Divisors
… rings determined by equivalence classes of zero divisors, specifically for a Noetherian ring R. We study the classification of these graphs. Specifically, we add more criteria to the list of characterizations that disqualify a graph as the zero divisor graph of a ring. We also briefly discuss …
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Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors
… intersecting numerically equivalent ample divisors. In chapter 4, we improve Ru's defect relation (see \cite{ru15}) and the height inequality (see \cite{ru}) in the case when $X$ is a normal projective surface and $D_j$, $1 \leq j \leq q$, are big and asymptotically free divisors without …
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Analytic versions of the zero divisor conjecture
… when elements of CG are uniform non zero divisors, we also give sufficient conditions to determine when elements of CG are p-zero divisors. Examples of p-zero divisors will also be given. Also a measure theoretic approach to the zero divisor conjecture will be given.
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Birational geometry of the space of rational curves in homogeneous varieties
… its associated cones of ample and effective divisors as well as the various Mori chambers within the latter. We compute the base loci of all effective divisors, and give a conjectural description of the induced birational models. We then partially extend our results to the Hyperquot scheme of …
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Partial ordering of weak mutually unbiased bases in finite quantum systems
… geometry Gd and subsets of the set {D(d)} of divisors of d. (ii) the set {hd} of subspaces of a finite Hilbert space Hd and subsets of the set {D(d)} of divisors of d. (iii) the set {Y(d)} of subsystems of a finite quantum system ^(d) and subsets of the set {D(d)} of divisors of d. We conclude …
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Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves
… algebraic geometric (AG) codes. AG codes from divisors supported in only one point on the Hermitian curve produce long codes with excellent parameters. Feng and Rao introduced a modified construction that improves the parameters while still using one-point divisors. Their construction is …
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Some Results on Periodicities for Min-Max Recursive Sequences
… Some results related to the greatest common divisors of elements in
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Sums of Multiplicative Functions Over Integers Without Large Prime Factors and Related Differential Difference Equations
… of positive integers up to x, all of whose prime divisors are less than or equal to y. The estimate of Psi(x, y) is given in terms of Dickman's famous function rho(u), where u = log x/log y. In this thesis, we study generalizations of Psi(x, y): Let S(x, y) denote the set of positive integers up …
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ΑΝΑΛΥΣΗ ΓΕΝΙΚΕΥΜΕΝΩΝ ΙΔΙΟΜΟΡΦΩΝ ΣΥΣΤΗΜΑΤΩΝ ΑΥΤΟΜΑΤΟΥ ΕΛΕΓΧΟΥ
… CHAINS THAT CORRESPOND TO INFINITE ELEMENTARY DIVISORS OF THE MATRIX A(S). INFINITE ELEMENTARY DIVISORS OF GENERAL POLYNOMIAL MATRICES IS EXAMINED. IT IS SHOWN THAT IMPULSIVE SOLUTIONS ARE DUE TO JORDAN CHAINS OF A "DUAL" POLYNOMIAL MATRIX THAT CORRESPOND TO INFINITE ELEMENTARY DIVISORS THAT …
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On the implementation of composite-order bilinear groups in cryptographic protocols
… finite fields, as well as rational functions and divisors on such curves. Bilinear pairings on elliptic curves are explained. We then introduce bilinear groups of composite order and how they are used to create pairing-based cryptosystems. We present two cryptosystems using composite-order groups. …
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Ample subschemes and partially positive line bundles
… and also fundamental to algebraic geometry: divisors correspond to line bundles and ample line bundles classify projective embeddings. However, subvarieties and algebraic cycles of higher codimension are regarded as much more complicated objects and not well understood in general. The first …
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