WebFeb 6, 2024 · For a cDV singularity, it is well known that there are only finitely many minimal models and one goal of the Homological Minimal Model Programme was to provide an algorithm that can produce all the minimal models from a given one, similar to how all maximal rigid objects can be obtained via iterated mutation from a given maximal rigid … WebGiven a terminal singularity P 2X of index r >1, there is a partial resolution X n!:::X 1!X 3P; for a point P 2X of index r >1 such that each X i+1!X i is a divisorial extraction over a point P i 2X i of index r i with discrepancy 1 r i and X n has only Gorenstein terminal singularities, i.e. terminal singularity of index 1. Theorem (Hayakawa)

Is the factorial cDV-singularity $T_1^2 - MathOverflow

WebMar 31, 2024 · cDV singularity R, and output a finite n umber of minimal models X i → Spec R. All minimal models of cDV singularities (which alwa ys exist), and more generally all crepant partial resolutions ... WebTable 3: Three-fold isolated quasi-homogeneous singularities of the cDV type corresponding to the J(b)[k] irregular punctures of the regular-semisimple type in [16]. A distinguished class of solutions to (1.1) and (1.2), known as the regular-semisimple type5 gives rise to irregular codimension-two defects that are in one-to-one correspondence with clothia app

19w5161: Tilting Theory, Singularity Categories, & Noncommutative ...

WebSuppose R is a complete local isolated cDV singularity and that Λcon:= EndR(M) is an associated contraction algebra. Then every standard derived equivalence from Λcon(up to some algebra isomorphism) can be obtained as some composition of our constructed standard equivalences and their inverses. WebA typical cDV singularity is a one-parameter deformation of a rational double point. A terminal threefold singularity is a cyclic quotient of an isolated cDV singularity. Say X ′ → X is such that X ′ has cDV singularities. Suppose we already know the statement for cDV singularities. Let Y ″ denote a resolution of Y ′ = X ′ × X Y. WebThe main results presented throughout, and summarised in Theorem 8.1.1, give an explicit description of the Grothendieck group and class group of Kleinian singularities, their … clothia jobs