Numerically Gorenstein surface singularities are homeomorphic to Gorenstein ones
نویسندگان
چکیده
منابع مشابه
Toric I Q-gorenstein Singularities
For an affine, toric I Q-Gorenstein variety Y (given by a lattice polytope Q) the vector space T 1 of infinitesimal deformations is related to the complexified vector spaces of rational Minkowski summands of faces of Q. Moreover, assuming Y to be an isolated, at least 3-dimensional singularity, Y will be rigid unless it is even Gorenstein and dimY = 3 (dimQ = 2). For this particular case, so-ca...
متن کاملDivisorial Contractions to Some Gorenstein Singularities
Divisorial contractions to singularities, defined by equations xy + zn + un = 0 n ≥ 3 and xy + z + u = 0 are classified. The problem of birational classification of algebraic varieties is highly interconnected with the problem of description of singularities on them. One of the most important class of three-dimensional singularities is terminal singularities, which arise within minimal models p...
متن کامل“Weakly” Elliptic Gorenstein Singularities of Surfaces
Let p be a singularity of a normal two–dimensional analytic surface X. In general π : M → X will denote a resolution of (X, p), and A = π(p). It is well–known that the dual resolution graph of the germ (X, p) determines the topology of the germ (X, p). Indeed, the (real) link of (X, p) can be reconstructed from the resolution graph as a plumbing. Conversely, by a result of W. Neumann [15], the ...
متن کاملTriangulated Categories of Gorenstein Cyclic Quotient Singularities
We prove there is an equivalence of derived categories between Orlov’s triangulated category of singularities for a Gorenstein cyclic quotient singularity and the derived category of representations of a quiver with relations, which is obtained from a McKay quiver by removing one vertex and half of the arrows. This result produces examples of distinct quivers with relations which have equivalen...
متن کاملOne-parameter families containing three-dimensional toric Gorenstein singularities
(1.1) Let σ be a rational, polyhedral cone. It induces a (normal) affine toric variety Yσ which may have singularities. We would like to investigate its deformation theory. The vector space T 1 Y of infinitesimal deformations is multigraded, and its homogeneous pieces can be determined by combinatorial formulas developed in [Al 1]. If Yσ only has an isolated Gorenstein singularity, then we can ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2011
ISSN: 0012-7094
DOI: 10.1215/00127094-1433412