All Outputs (3)

Four-dimensional projective orbifold hypersurfaces (2015)
Journal Article
Brown, G., & Kasprzyk, A. M. (2015). Four-dimensional projective orbifold hypersurfaces. Experimental Mathematics, 25(2), https://doi.org/10.1080/10586458.2015.1054054

We classify four-dimensional quasismooth weighted hypersurfaces with small canonical class, and verify a conjecture of Johnson and Kollar on infinite series of quasismooth hypersurfaces with anticanonical hyperplane section in the case of fourfolds.... Read More about Four-dimensional projective orbifold hypersurfaces.

Mutations of Fake Weighted Projective Planes (2015)
Journal Article
Akhtar, M. E., & Kasprzyk, A. M. (2016). Mutations of Fake Weighted Projective Planes. Proceedings of the Edinburgh Mathematical Society, 59(2), 271-285. https://doi.org/10.1017/S0013091515000115

In previous work by Coates, Galkin, and the authors, the notion of mutation between lattice polytopes was introduced. Such a mutation gives rise to a deformation between the corresponding toric varieties. In this paper we study one-step mutations tha... Read More about Mutations of Fake Weighted Projective Planes.

Four-dimensional Fano toric complete intersections (2015)
Journal Article
Coates, T., Kasprzyk, A. M., & Prince, T. (2015). Four-dimensional Fano toric complete intersections. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471, https://doi.org/10.1098/rspa.2014.0704

We find at least 527 new four-dimensional Fano manifolds, each of which is a complete intersection in a smooth toric Fano manifold.