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Showing 1 to 5 of 5 for “"Quadrics"”.
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Computing the intersection of two quadrics through projection and lifting
O objetivo desta dissertação é o estudo da interseção de duas quádricas, do ponto de vista teórico através da demonstração de novos resultados e, do ponto de vista prático, implementando um algoritmo em dois softwares, o GeoGebra e o Maple. As quádricas são as mais simples superfícies curvas e …
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Models of genus one curves
… plane cubics, or complete intersections of two quadrics in P3. By minimising such a curve we mean making the invariants associated to its defining equations as small as possible using a suitable change of coordinates. We study the non-uniqueness of minimisations of the genus one curves described …
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Derived categories of coherent sheaves on rational homogeneous manifolds
… this result to flag manifolds of type $A_n$ and quadrics. In another direction, Y. Kawamata has recently proven existence of complete exceptional sequences on toric varieties. Starting point of the present work is a conjecture of F. Catanese which says that on every rational homogeneous manifold …
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Conics, unitals and net replacement.
… major importance are the definitions of unitals, quadrics, Baer subplanes, Baer sublines and derivation. Chapter two introduces the Bruck-Bose correspondence. We use the Bruck-Bose correspondence extensively in chapters three and four. The Bruck-Bose correspondence is a correspondence between …