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Generators of Ideals Defining Certain Surfaces in Projective Space

Published online by Cambridge University Press:  20 November 2018

Sandeep H. Holay
Sandeep H. Holay*
Affiliation:
Department of Mathematics Southeast Community College Lincoln, NE 68520 U.S.A. email: e-mail: sholay@unlinfo.unl.edu
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Abstract

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We consider the surface obtained from the projective plane by blowing up the points of intersection of two plane curves meeting transversely. We find minimal generating sets of the defining ideals of these surfaces embedded in projective space by the sections of a very ample divisor class. All of the results are proven over an algebraically closed field of arbitrary characteristic.

Keywords

14J26Generatorsfree resolutionblow uprational surfaces
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 3 , 01 June 1996 , pp. 585 - 595
Copyright
Copyright © Canadian Mathematical Society 1996

References

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