Applications of Braid Group Techniques to algebraic Surfaces, New examples

dc.creatorRobb, Arthur
dc.creatorTeicher, Mina
dc.date1997-03-05
dc.date.accessioned2026-07-07T09:07:11Z
dc.date.available2026-07-07T09:07:11Z
dc.descriptionEvery smooth minimal complex algebraic surface of general type, $X$, may be mapped into a moduli space, $\MM_{c_1^2(X), c_2(X)}$, of minimal surfaces of general type, all of which have the same Chern numbers. Using the braid group and braid monodromy,we construct infinitely many new examples of pairs of minimal surfaces of general type which have the same Chern numbers and non-isomorphic fundamental groups. Unlike previous examples, our results include $X$ for which $|π_1(X)|$ is arbitrarily large. Moreover, the surfaces are of positive signature. This supports our goal of using the braid group and fundamental groupsto decompose $\MM_{c_1^2(X),c_2(X)}$ into connected components.
dc.descriptionAMS-TeX, 9 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9703005
dc.identifierhttp://arxiv.org/abs/alg-geom/9703005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150283
dc.subjectAlgebraic Geometry
dc.titleApplications of Braid Group Techniques to algebraic Surfaces, New examples
dc.typetext

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