Imperial College London
Portrait Picture

ProfessorTomCoates

Faculty of Natural Sciences, Department of Mathematics

Professor of Pure Mathematics
 
 
 
//

Contact

 

+44 (0)20 7594 3607t.coates

 
 
//

Location

 

662Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Coates:2022:10.1007/978-3-030-98327-7_6,
author = {Coates, T and Corti, A and da, Silva G},
doi = {10.1007/978-3-030-98327-7_6},
journal = {Springer Proceedings in Mathematics and Statistics},
pages = {135--156},
title = {On the Topology of Fano Smoothings},
url = {http://dx.doi.org/10.1007/978-3-030-98327-7_6},
volume = {386},
year = {2022}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Suppose that X is a Fano manifold that corresponds under Mirror Symmetry to a Laurent polynomial f, and that P is the Newton polytope of f. In this setting it is expected that there is a family of algebraic varieties over the unit disc with general fiber X and special fiber the toric variety defined by the spanning fan of P. Building on recent work and conjectures by Corti–Hacking–Petracci, who construct such families of varieties, we determine the topology of the general fiber from combinatorial data on P. This provides evidence for the Corti–Hacking–Petracci conjectures, and verifies that their construction is compatible with expectations from Mirror Symmetry.
AU  - Coates,T
AU  - Corti,A
AU  - da,Silva G
DO  - 10.1007/978-3-030-98327-7_6
EP  - 156
PY  - 2022///
SN  - 2194-1009
SP  - 135
TI  - On the Topology of Fano Smoothings
T2  - Springer Proceedings in Mathematics and Statistics
UR  - http://dx.doi.org/10.1007/978-3-030-98327-7_6
VL  - 386
ER  -
Download