Exterior algebra methods for the construction of rational surfaces in the projective fourspace

dc.creatorAbo, Hirotachi
dc.creatorSchreyer, Frank-Olaf
dc.date2005-08-29
dc.date.accessioned2026-07-07T05:22:46Z
dc.date.available2026-07-07T05:22:46Z
dc.descriptionThe aim of this paper is to present a construction of smooth rational surfaces in projective fourspace with degree 12 and sectional genus 13. The construction is based on exterior algebra methods, finite field searches and standard deformation theory.
dc.description13 pages. Singular or Macaulay2 scripts needed to construct and analyse these surfaces are available at http://www.math.uni-sb.de/~ag-schreyer and http://www.math.colostate.edu/~abo/programs.html
dc.identifierhttps://arxiv.org/abs/math/0508582
dc.identifierhttp://arxiv.org/abs/math/0508582
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76192
dc.subjectAlgebraic Geometry
dc.subject14J10, 14J26; 14Q10
dc.titleExterior algebra methods for the construction of rational surfaces in the projective fourspace
dc.typetext

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