Weak Fano threefolds obtained by blowing‐up a space curve and construction of Sarkisov links
By J. Blanc, St'ephane Lamy. 2011
47 citations recorded by the source corpus.
We characterize smooth curves in ℙ3 whose blow‐up produces a threefold with anticanonical divisor big and nef. These are curves C of degree d and genus g lying on a smooth quartic, such that (i) 4d−30⩽g⩽14 or (g, d)=(19, 12), (ii) there is no 5‐secant line, 9‐secant conic nor 13‐secant twisted cubic to C. This generalizes the classical similar situation for the blow‐up of points in ℙ2.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/63dddbf1b1ca9ee57a45fdce666fb242c4017658
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In Applied Mathematics
- Johannes Nordstrom
- T. Pacini
- Alessio Corti
- M. Haskins
- Thomas Walpuski
- Dietmar Salamon
- Spiro Karigiannis
- D. Joyce
In Geometry and Topology
- Johannes Nordstrom
- M. Haskins
- T. Pacini
- Alessio Corti
- Thomas Walpuski
- Dietmar Salamon
- M. Mustaţă
- H. Hein
Citations in the corpus
- Asymptotically cylindrical Calabi–Yau 3–folds from weak Fano 3–folds (2012, methodology): “The classification of non-singular weak Fano 3–folds with ρ = 2 was initiated recently by Jahnke– Peternell–Radloff [40, 41] with subsequent contributions by Takeuchi [93], Cutrone– Marshburn [18], Arap–Cutrone–Marshburn [2] and Blanc–Lamy [8]; see also related work by Kaloghiros [45, 46].”