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 American Economic Review
, 2006
"... This report is preliminary and has not been reviewed for conformity with U.S. Geological Survey editorial standards (or with the North American Stratigraphic Code). Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government. ..."
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Cited by 27 (2 self)
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This report is preliminary and has not been reviewed for conformity with U.S. Geological Survey editorial standards (or with the North American Stratigraphic Code). Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government.
Quotients of the conifold in compact CalabiYau threefolds, and new topological transitions
 Adv. Theor. Math. Phys
, 2010
"... topological transitions ..."
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, 1994
"... This report describes a synthesis of two wellknown agent paradigms: AgentOriented ..."
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This report describes a synthesis of two wellknown agent paradigms: AgentOriented
Classification and Properties of Hyperconifold Singularities and Transitions
"... This paper is a detailed study of a class of isolated Gorenstein threefold singularities, called hyperconifolds, that are finite quotients of the conifold. First, it is shown that hyperconifold singularities arise naturally in limits of smooth, compact Calabi–Yau threefolds (in particular), when the ..."
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This paper is a detailed study of a class of isolated Gorenstein threefold singularities, called hyperconifolds, that are finite quotients of the conifold. First, it is shown that hyperconifold singularities arise naturally in limits of smooth, compact Calabi–Yau threefolds (in particular), when the group action on the covering space develops a fixed point. The Znhyperconifolds—those for which the quotient group is cyclic—are classified, demonstrating a onetoone correspondence between these singularities and threedimensional lens spaces L(n, k), which occur as the vanishing cycles. The classification is constructive, and leads to a simple proof that a Znhyperconifold is mirror to an nnodal variety. It is then argued that all factorial Znhyperconifolds have crepant, projective resolutions, and this gives rise to transitions between smooth compact Calabi–Yau threefolds, which are mirror to certain conifold transitions. Formulae are derived for the change in both fundamental group and Hodge numbers under such hyperconifold transitions. Finally, a number of explicit examples are given, to illustrate how to construct new Calabi–Yau manifolds using hyperconifold transitions, and also to highlight the differences which can occur when these singularities occur in nonfactorial varieties.
TABLE OF CONTENTS
, 2008
"... 10580 and NSF ITR on “Foundations of Hybrid and Embedded Software ..."
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