Publication: Curves of degree r + 2 in ℙr: Cohomological, geometric, and homological aspects
Curves of degree r + 2 in ℙr: Cohomological, geometric, and homological aspects
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Brodmann, M., & Schenzel, P. (2001). Curves of degree r + 2 in ℙr: Cohomological, geometric, and homological aspects. Journal of Algebra, 242(2), 577–623. https://doi.org/10.1006/jabr.2001.8847
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Let C⊆Prk be a non-degenerate projective curve of degree r+2, where r≥3. By means of the Hartshorne-Rao module of C we distinguish 4 different possible cases (and an exceptional case which only appears if r=3). In any case C is obtained either by means of an embedding of an arbitrary smooth curve C0 of genus 2, or by projecting an elliptic normal curve from a point or by projecting a rational normal curve from a line. Finally, the possible minimal free resolutions of the homogeneous coordinate ring of C are studied. © 2001 Academic Pr
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- Brodmann, M
- Schenzel, P
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Brodmann, M., & Schenzel, P. (2001). Curves of degree r + 2 in ℙr: Cohomological, geometric, and homological aspects. Journal of Algebra, 242(2), 577–623. https://doi.org/10.1006/jabr.2001.8847