A weak Fano threefold arising as a blowup of a curve of genus 5 and degree 8 on $${\mathbb {P}}^3$$P3

Autor: Cutrone, Joseph, Limarzi, Michael, Marshburn, Nicholas
Zdroj: European Journal of Mathematics; September 2019, Vol. 5 Issue: 3 p763-770, 8p
Abstrakt: This article constructs a smooth weak Fano threefold of Picard number two with small anticanonical morphism that arises as a blowup of a smooth curve of genus 5 and degree 8 in $${\mathbb {P}}^3$$P3. While the existence of this weak Fano was known as a numerical possibility in Cutrone and Marshburn (Cent Eur J Math 11(9):1552–1576, 2013) and constructed in Blanc and Lamy (Proc Lond Math Soc 105(5):1047–1075, 2012), this paper removes the dependencies on the results in Jahnke et al. (Cent Eur J Math 9(3):449–488, 2011) needed in the construction of Blanc and Lamy (Proc Lond Math Soc 105(5):1047–1075, 2012) and constructs the link in the style of Arap et al. (Math Scand 120(1):68–86, 2017).
Databáze: Supplemental Index
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