Equisingular Families of Projective Curves

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dc.creatorGreuel, Gert-Martin
dc.creatorLossen, Christoph
dc.creatorShustin, Eugenii
dc.date2006-12-12
dc.date.accessioned2026-07-07T06:36:08Z
dc.date.available2026-07-07T06:36:08Z
dc.descriptionIn this survey, we report on progress concerning families of projective curves with fixed number and fixed (topological or analytic) types of singularities. We are, in particular, interested in numerical, universal and asymptotically proper sufficient conditions to guarantee the nonemptyness, T-smoothness and irreducibility of the variety of all projective curves with prescribed singularities in a fixed linear system. We also discuss the analogous problem for hypersurfaces of arbitrary dimension with isolated singularities, and we close with a section on open problems and conjectures.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/math/0612310
dc.identifierhttp://arxiv.org/abs/math/0612310
dc.identifierGlobal Aspects of Complex Geometry, Springer Verlag (2006), 171-210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99993
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14H10; 14H20
dc.titleEquisingular Families of Projective Curves
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