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ALGEBRAIC SURFACES WITH INFINITELY MANY TWISTOR LINES
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 101 / Issue 1 / February 2020
- Published online by Cambridge University Press:
- 24 May 2019, pp. 61-70
- Print publication:
- February 2020
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We prove that a reduced and irreducible algebraic surface in
$\mathbb{CP}^{3}$ containing infinitely many twistor lines cannot have odd degree. Then, exploiting the theory of quaternionic slice regularity and the normalisation map of a surface, we give constructive existence results for even degrees.
Higher-Level
Conformal Blocks Divisors on 
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 1 / February 2014
- Published online by Cambridge University Press:
- 16 January 2014, pp. 7-30
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- Article
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We study a family of semi-ample divisors on the moduli space of n-pointed genus 0 curves
given by higher-level conformal blocks. We derive formulae for their intersections with a basis of 1-cycles, show that they form a basis for the Sn-invariant Picard group, and generate a full-dimensional subcone of the Sn-invariant nef cone. We find their position in the nef cone and study their associated morphisms.
Conformal Blocks Divisors on 
