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Showing 1 to 16 of 16 for “"Subvarieties"”.
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Some subvarieties of the De Concini-Procesi compactification
This thesis is concerned with the intrinsic structure of the De Concini-Procesi compactification of semi-simple adjoint algebraic groups and some relations with other topics of algebraic groups. In chapter 1, we study the closure of the totally positive part of an adjoint group in the group …
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Ample subschemes and partially positive line bundles
… of an algebraic variety are reflected in the subvarieties that are 'positively embedded' in it. Here the case of subvarieties of codimension one is classical and also fundamental to algebraic geometry: divisors correspond to line bundles and ample line bundles classify projective embeddings. …
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Unilinear Residuated Lattices
… the variety they generate has continuum-many subvarieties. More generally, we study unilinear residuated lattices: their lattice is a union of disjoint incomparable chains, with bounds added. We give the characterization of all unilinear residuated lattices. By presenting the constructions and …
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Geometric Theory of Parshin Residues
… at a point but at a complete flag of irreducible subvarieties. Parshin, Beilinson, and Lomadze also proved the Reciprocity Law for residues: if one fixes all elements of the flag, except for one, and consider all possible choices of the missing element, then only finitely many of these choices …
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The Finite Embeddability Property for Some Noncommutative Knotted Varieties of RL and DRL
… purely algebraic methods, we prove the FEP for subvarieties of ��^�_� and ���^�_� that satisfy properties weaker than commutativity. The proof uses the theory of residuated frames introduced by Galatos and Jipsen .</p> <p>In Chapter 1, we present the basic definitions and constructions that will …
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Superalgebras with superinvolution
… growth and along the way I shall classify the subvarieties of the varieties of almost polynomial growth. Finally I shall find standard identities of minimal degree in the setting of matrix superalgebras with superinvolution and in this way I shall show that the Amitsur-Levitzki theorem can be …
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Hamiltonian Actions In Integral Kahler And Generalized Complex Geometry
… Sjamaar generalized this result to irreducible subvarieties preserved only by a Borel subgroup. In another direction, O'Shea and Sjamaar proved a convexity result for the moment map image of the submanifold fixed by an anti-symplectic involution. Analogous to Guillemin and Sjamaar's …
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Algebraic aspects of propositional logic
… corresponds to intuitionistic logic, and certain subvarieties of Heyt which correspond to intermediate logics. We then describe several algebraic varieties which correspond to theories of normal modal logic. Moreover, by considering free algebras and completeness in Heyt, we establish that we are …
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Relative Hilbert scheme methods in pseudoholomorphic geometry
… Gromov invariants which count pseudoholomorphic subvarieties of symplectic 4-manifolds with a prescribed decomposition into reducible components. We prove a vanishing result for some of these invariants which might bear on the question of the uniqueness of the decomposition of the canonical class …
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Die gebruik van Kaapse visuele kultuur vir Afrikaanstaalaanleer
… South Africa. Cape Afrikaans consists of various subvarieties such as Muslim Cape Afrikaans, Cape Flats Cape Afrikaans, West Coast Cape Afrikaans, Boland Cape Afrikaans and Overberg Cape Afrikaans. In the thesis, Helderberg Cape Afrikaans, which falls under Boland Cape Afrikaans, is mainly …
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Prism tableaux and alternating sign matrices
… by ASMs. More generally, one can consider subvarieties of the space of n by n matrices cut out by imposing rank conditions on maximal northwest submatrices. We show that, up to an affine factor, such a variety is isomorphic to an ASM variety. The multidegrees of ASM varieties can be …
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Symmetry in monotone Lagrangian Floer theory
… the image of low codimension $K$-invariant subvarieties of $X$ under the length zero closed-open string map. This places restrictions on the self-Floer cohomology of $L$ which generalise and refine the Auroux-Kontsevich-Seidel criterion. These often result in the need to work over fields of …
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Theory and algorithms for swept manifold intersections
… of intersections of submanifolds and s-subvarieties of a Euclidean space is presented. It provides a method for distinguishing between transverse and tangential intersection points and determining, in some cases, whether the intersection point belongs to a boundary. At the end, several …
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Categorifications of Cluster Varieties
… case of Grassmannians and their open positroid subvarieties, this initial seed is described by a strand diagram in the disk called a Postnikov diagram. Our first objective is to study the cluster structure on the homogeneous coordinate ring of the Grassmannian using the additive categorification …
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Petrology and geochemistry of the diamondiferous K-richteriteand leucite-bearing Kareevlei Kaapvaal lamproite
… programs focused mainly on the unevolved subvarieties of Kaapvaal lamproites, such as at the Finsch mine. To further assist with the petrogenesis of these uncommon diamondiferous rock types, 13 Kaapvaal lamproite samples of hypabyssal texture from the Kareevlei diamond mine have been …
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Substructurality and residuation in logic and algebra
… logics and containing many interesting subvarieties such as Heyting algebras, MV algebras, and lattice-ordered groups, to name a few, the variety of residuated lattices is of utmost importance to the studies of Logic and Algebra, hence our interest. In this dissertation we carry out some …