AbstractWe prove two conjectures from Cautis and Logvinenko (2009) [CL09] which describe the geometrical McKay correspondence for a finite, abelian subgroup of SL3(C). We do it by studying the relation between the derived category mechanics of computing a certain Fourier–Mukai transform and a piece of toric combinatorics known as ‘Reid's recipe’, effectively providing a categorification of the latter
61 pagesInternational audienceGiven a finite subgroup $\Gamma$ of $\mathbf{SL}_3\mathbb{C}$, we dete...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
Abstract. For which finite subgroups G of SL(r,C), r ≥ 4, are there crepant desingularizations of th...
We prove two conjectures from Cautis and Logvinenko (2009) [CL09] which describe the geometrical McK...
For any finite subgroup G ⊂ SL_3(C), work of Bridgeland-King-Reid constructs an equivalence between ...
The classical McKay correspondence relates representations of a finite subgroup G ⊂ SL(2,C) to the ...
We propose a three dimensional generalization of the geometric McKay correspondence described by Gon...
For a finite Abelian subgroup A ⊂ SL(3,C), let Y=A-Hilb (C<sup>3</sup>) denote the scheme para...
AbstractFor a finite Abelian subgroup A⊂SL(3,C), let Y=A-Hilb(C3) denote the scheme parametrising A-...
In most cases where it has been shown to exist the derived McKay correspondence can be written as a ...
We give a new moduli construction of the minimal resolution of the singularity of type 1/r(1,a) by i...
The McKay correspondence is an interesting connection between many different areas of mathematics. T...
The McKay Conjecture (MC) asserts the existence of a bijection between the (inequivalent) complex ir...
Abstract. For most of the finite subgroups of SL(3,C), we give explicit formulae for the Molien seri...
The first chapter shows by toric methods ($G-$graphs) that for any positive integer $n$, the quotien...
61 pagesInternational audienceGiven a finite subgroup $\Gamma$ of $\mathbf{SL}_3\mathbb{C}$, we dete...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
Abstract. For which finite subgroups G of SL(r,C), r ≥ 4, are there crepant desingularizations of th...
We prove two conjectures from Cautis and Logvinenko (2009) [CL09] which describe the geometrical McK...
For any finite subgroup G ⊂ SL_3(C), work of Bridgeland-King-Reid constructs an equivalence between ...
The classical McKay correspondence relates representations of a finite subgroup G ⊂ SL(2,C) to the ...
We propose a three dimensional generalization of the geometric McKay correspondence described by Gon...
For a finite Abelian subgroup A ⊂ SL(3,C), let Y=A-Hilb (C<sup>3</sup>) denote the scheme para...
AbstractFor a finite Abelian subgroup A⊂SL(3,C), let Y=A-Hilb(C3) denote the scheme parametrising A-...
In most cases where it has been shown to exist the derived McKay correspondence can be written as a ...
We give a new moduli construction of the minimal resolution of the singularity of type 1/r(1,a) by i...
The McKay correspondence is an interesting connection between many different areas of mathematics. T...
The McKay Conjecture (MC) asserts the existence of a bijection between the (inequivalent) complex ir...
Abstract. For most of the finite subgroups of SL(3,C), we give explicit formulae for the Molien seri...
The first chapter shows by toric methods ($G-$graphs) that for any positive integer $n$, the quotien...
61 pagesInternational audienceGiven a finite subgroup $\Gamma$ of $\mathbf{SL}_3\mathbb{C}$, we dete...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
Abstract. For which finite subgroups G of SL(r,C), r ≥ 4, are there crepant desingularizations of th...
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