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math.AG2007★ 8 cited
Rational curves of degree 11 on a general quintic threefold
Ethan Cotterill
We prove that the incidence scheme of rational curves of degree 11 on quintic threefolds is irreducible. This implies a strong form of the Clemens conjecture in degree 11. Namely,…
math.AG2007★ 2 cited
Geometry of curves with exceptional secant planes: linear series along the general curve
Ethan Cotterill
We study linear series on a general curve of genus , whose images are exceptional with regard to their secant planes. Working in the framework of an extension of Brill-Noether t…