Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 15 of 15 for “"complete intersection"”.
-
Positive Sasakian Structures on Links of Weighted Complete Intersection Singularities
… $(n-2)$-connected. In dimension 5, there is a complete classification of simply connected spin manifolds due to Smale. Hypersurface singularities yielding links of dimension 5 have been treated by Boyer, Galicki, Koll\'{a}r, Nakamaye, and others. This paper investigates isolated singularities …
-
Homology over a Complete Intersection Ring via the Generic Hypersurface
… properties and constructions for modules over a complete intersection ring $Q/(f_1,\ldots,f_c)$ by way of the related generic hypersurface ring $Q[T_1,\ldots,T_c]/(f_1T_1+\cdots+f_cT_c)$. The advantage of this approach is that over a hypersurface ring, free resolutions are eventually 2-periodic, …
-
On Smooth Isolated Curves in General Complete Intersection Calabi-Yau Threefolds
… of smooth and isolated curves in general complete intersection Calabi-Yau (CICY) threefolds. There are three parts. In the first part, we use Knutsen's technique to prove some existence results on smooth isolated curves in general CICY threefolds. Recently Knutsen found criteria for the …
-
The presentation functor and Weierstrass theory for families of local complete intersection curves
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
-
Koszul Homology and Resolutions over Commutative Rings
… ideals by which they were inspired, namely, weak complete intersection ideals.</p> <p>As another application of such formulas, we study the Koszul homology algebra of quotients by edge ideals. We show that the Koszul homology algebra of a quotient by the edge ideal of a forest is generated by the …
-
Hypersurface Sections: A Study of Divisor Class Groups and of the Complexity of Tensor Products
… Betti numbers of a module. We show that over a complete intersection R the complexity of the tensor product $M\otimes\sb{R}N$ of two finitely generated modules is the sum of the complexities of each if $Tor\sbsp{i}{R}(M,\ N)=0$ for $i\ge1.$ One of the applications is simplification of the proofs …
-
Some special cases of Chow groups of complete ramified regular local rings
… some special cases of Chow groups of a ramified complete regular local ring R of dimension n. We prove that (a) for codimension 3 Gorenstein ideal I, (I) = 0 in $A\sb{n-3}(R)$ and (b) for a particular class of almost complete intersection prime ideals P of height i, (P) = 0 in $A\sb{n-i}(R).$ We …
-
Number-theoretic properties of the binomial distribution with applications in arithmetic geometry
… describe Bucur and Kedlaya's generalization to complete intersections. We then prove theorems concerning the probability that a binomial distribution yields an integer of various certain properties, such as being prime or being squarefree. Finally, we show how to apply such a theorem, concerning …
-
Betti numbers of Koszul algebras and codimension two matrix factorizations
… 3 for the defining ideals of Koszul almost complete intersections and, in the process, give an affirmative answer for all such rings to a question of Avramov, Conca, and Iyengar about the Betti numbers of Koszul algebras. In Chapter 4, we study the codimension two matrix factorizations of …
-
Splitting of Vector Bundles on Punctured Spectrum of Regular Local Rings
… quotients of regular local rings have to be complete intersections. More precisely we prove that if (<em>R,</em> m) is a regular local ring of dimension at least five, p is a prime ideal of codimension two, and the ring Γ (<em>V, R/</em>p) is Gorenstein, where <em>V</em> is the open set …
-
Homological invariants of some special varieties
… ideal of a variety of lines arising from a complete intersection of points. We also compute the Castelnuovo-Mumford regularity of the defining ideal of grids of lines and complete intersections of lines in P1×P1×P1. Then we study the regularity of another special variety, i.e., the edge …
-
Complete Mirror Pairs and Their Naive Stringy Hodge Numbers
… a pair</p><p>of Calabi-Yau complete intersections</p><p>$(Y_{\Delta_1,\dotsc,\Delta_c},Y_{\nabla_1,\dotsc,\nabla_c})$ in Gorenstein Fano</p><p>toric varieties $(X_\Delta,X_\nabla)$. These Calabi-Yau varieties are singular</p><p>in general. Batyrev and Nill have developed a …
-
Various Differents for 0-Dimensional Schemes and Applications
… for a 0-dimensional smooth scheme to be a complete intersection. We also generalize some results such as Dedekind's formula and the characterization of the Cayley-Bacharach property by using Liaison theory. In addition, several propositions on the uniformities are proven. In Chapter 5 we …
-
Projective Resolutions of Generic Order Ideals
… and is generated by n elements, it is an almost complete intersection. Huneke and Ulrich showed that J$\sb{\rm n}$ is a perfect prime ideal of grade n $-$ 1 and the ideals J$\sb{\rm n+1}$ and (J$\sb{\rm n}$,Y$\sb{\rm n+1}$) are linked by the regular sequence $\{$g$\sbsp{1}{\rm …
-
A geochemical profile through the Uitkomst Complex on the farm Slaaihoek, with special reference to the platinum-group elements and Sm-Nd isotopes
… of borehole core SH176, which provided a complete intersection of the Uitkomst Complex was carried out. The study shows that the Complex may have crystallized in a dynamic magma conduit setting. The whole rock geochemical trends indicate that there is a reversed fractionation in the basal …