8 citations · 17 across the 7 of their papers we have counts for
7 papers
Very fast, very functorial, and very easy resolution of singularities
Michael McQuillan, Gianluca Marzo
The main theorem, I.a, is the existence for excellent Deligne-Mumford champ of characteristic zero of a resolution functor independent of the resolution process itself. Perceived w…
Elementary topology of champs
Michael McQuillan
Broadly speaking the present is a homotopy complement to the book of Giraud, albeit in a couple of different ways. In the first place there is a representability theorem for maps t…
Remarks about bubbles
Michael McQuillan, Gianluca Pacienza
We make some remarks about bubbling on, not necessarily proper, champs de Deligne-Mumford, i.e. compactification of the space of mappings from a given (wholly scheme like) curve, s…
The Bloch Principle
Michael McQuillan
We formulate and prove an optimal version for quasi-projective surfaces of A. Bloch's dictum, "Nihil est in infinito quod prius non fuerit in finito" by way of a complement to a th…
Two Ext groups and a residue
Michael McQuillan
The present constitutes the key lemma which was hitherto missing in the author's proof of, inter alia, the Green-Griffiths conjecture for surfaces with enough 2-jets, e.g. $13\math…
(1 + d/dz)^(-1)
Michael McQuillan, Daniel Panazzolo
We investigate the structure of fully non-linear P.D.E.'s in holomorphic functions, with emphasis on the functorial generalisation of so called "irregular" O.D.E.'s. Highlights are…