activity
19972022
most citedLarge Complex Structure Limits of K3 Surfaces

8 citations · 17 across the 9 of their papers we have counts for

collaborators

10 papers

math.AG2022

The topology of Calabi-Yau threefolds with Picard number three

P. M. H. Wilson

We ask about the simply connected compact smooth 6-manifolds which can support structures of Calabi-Yau threefolds. In particular, we study the interesting case of Calabi-Yau three…

math.AG2020★ 5 cited

Calabi-Yau threefolds with Picard number three

P. M. H. Wilson

In this paper, we continue the study of boundedness questions for (simply connected) smooth Calabi-Yau threefolds commenced in arXiv:1706.01268. The diffeomorphism class of such a…

math.AG2017

Boundedness questions for Calabi-Yau threefolds

P. M. H. Wilson

In this paper, we study boundedness questions for (simply-connected) smooth Calabi-Yau threefolds. The diffeomorphism class of such a threefold is known to be determined up to fini…

math.AG2012★ 1 cited

Trilinear forms and Chern classes of Calabi-Yau threefolds

Atsushi Kanazawa, P. M. H. Wilson

Let X be a Calabi-Yau threefold and μthe symmetric trilinear form on the second cohomology group H^{2}(X,\Z) defined by the cup product. We investigate the interplay between the Ch…

math.AG2009★ 2 cited

Asymptotic curvature of moduli spaces for Calabi-Yau threefolds

Thomas Trenner, P. M. H. Wilson

Motivated by the classical statements of Mirror Symmetry, we study certain Kahler metrics on the complexified Kahler cone of a Calabi-Yau threefold, conjecturally corresponding to…

math.AG2004

Some geometry and combinatorics for the S-invariant of ternary cubics

P. M. H. Wilson

Given a real cubic form f(x,y,z), there is a pseudo-Riemannian metric given by its Hessian matrix, defined on the open subset of R^3 where the Hessian determinant h is non-zero. We…