The algorithms that Taubin developed worked well even in the vicinity of cusps and other singularities. |
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We describe the classification of del Pezzo surfaces of Picard rank one with smoothable quotient singularities. |
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Beyond such singularities, however, lay his vision of Canada and Canadians. |
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The city is the arena of multiple singularities, packed densely with each intensely individual life living out its deeply personal destiny. |
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Dark Matter, Big Bangs, Big Crunches, Big Rips and Singularities have all contributed to the intellectual vertigo caused by Compulsive Cosmology. |
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Under Lane she studied projective differential geometry and submitted her dissertation on Singularities of Space Curves. |
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This included not only the existence of singularities but also the theory that the universe might have started as a singularity. |
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This one specified that such singularities would occur without extra conditions. |
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However, in the late 1960s Roger Penrose and Stephen Hawking used global techniques to prove that singularities appear generically. |
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The appearance of singularities in general relativity is commonly perceived as signaling the breakdown of the theory. |
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It is generally expected that such a theory will not feature any singularities. |
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We consider families of curve-to-curve maps that have no singularities except those of genus 0 stable maps and that satisfy a versality condition at each singularity. |
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A much anticipated feature of a theory of quantum gravity is that it will not feature singularities or event horizons and thus black holes would not be real artifacts. |
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The cosmic censorship hypothesis rules out the formation of such singularities, when they are created through the gravitational collapse of realistic matter. |
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This view was held in particular by Vladimir Belinsky, Isaak Khalatnikov, and Evgeny Lifshitz, who tried to prove that no singularities appear in generic solutions. |
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