3 citations · 6 across the 5 of their papers we have counts for
10 papers
Moment Maps, Strict Linear Precision, and Maximum Likelihood Degree One
Patrick Clarke, David A. Cox
We study the moment maps of a smooth projective toric variety. In particular, we characterize when the moment map coming from the quotient construction is equal to a weighted Fubin…
Birationality and Landau-Ginzburg models
Patrick Clarke
We introduce a new technique for approaching birationality questions that arise in the mirror symmetry of complete intersections in toric varieties. As an application we answer aff…
Curved A-infinity-categories: adjunction and homotopy
Jeffrey Armstrong, Patrick Clarke
We develop a theory of curved A-infinity-categories around equivalences of their module categories. This allows for a uniform treatment of curved and uncurved A-infinity-categories…
Dual fans and mirror symmetry
Patrick Clarke
We show that the mirror constructions of Greene-Plesser, Berglund-Hubsch, Batryev-Borsov, Givental and Hori-Vafa can be expressed in terms of what we call dual fans. To do this, we…
Quasi-Splines and their moduli
Patrick Clarke
We study what we call quasi-spline sheaves over locally Noetherian schemes. This is done with the intention of considering splines from the point of view of moduli theory. In other…
Cycle Double Cover Conjecture
P. Clarke
In this paper, a proof of the cycle double cover conjecture is presented. The cycle double cover conjecture purports that if a graph is bridgeless, then there exists a list of cycl…