Towards Characterizing Morphisms Between High Dimensional Hypersurfaces

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dc.creatorSheppard, David
dc.date2003-01-31
dc.date.accessioned2026-07-07T04:54:50Z
dc.date.available2026-07-07T04:54:50Z
dc.descriptionWe show that for every morphism f between nonsingular hypersurfaces of dimension at least 3 and of general type in projective space, there is an everywhere defined endomorphism F of projective space that restricts to f. As a corollary, we see that if X,Y are nonsingular hypersurfaces of general type of dimension at least 3 such that there is a nonconstant morphism f from X to Y, then degY divides degX with quotient q, and moreover the endomorphism F of projective space is given by polynomials of degree q.
dc.description15 pages, first paper of graduate thesis
dc.identifierhttps://arxiv.org/abs/math/0302005
dc.identifierhttp://arxiv.org/abs/math/0302005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66415
dc.subjectAlgebraic Geometry
dc.subject14J70, 14J30
dc.titleTowards Characterizing Morphisms Between High Dimensional Hypersurfaces
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