The Generic Special Scroll of Genus g in P^N: Special Scrolls in P³

Luis Fuentes García Departamento de Métodos Matemáticos y Representación, Universidad de A Coruña, Coruña, SpainCorrespondence[email protected] ; [email protected]

Manuel Pedreira Pérez Departamento de Algebra, Universidad de Santiago de Compostela, Santiago de Compostela, Spain

Abstract

We study the generic linearly normal special scroll of genus g in P ^N. Moreover, we give a complete classification of the linearly normal scrolls in P ³ of genus 2 and 3.

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ACKNOWLEDGMENT

The second author was partially supported by Xunta de Galicia, project PGIDITOPXIA20702PR.

Notes

Communicated by L. Ein.

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The Generic Special Scroll of Genus g in PN: Special Scrolls in P3

Abstract

ACKNOWLEDGMENT

Notes

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The Generic Special Scroll of Genus g in P^N: Special Scrolls in P³