Toric singularities revisited
نویسنده
چکیده
In [Kat94b], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is log regular. And, these schemes allow one to generalize toric geometry to a theory that does not require a base field. This paper will extend this theory by removing normality requirements.
منابع مشابه
Resolving 3-dimensional toric singularities
This paper surveys, in the first place, some basic facts from the classification theory of normal complex singularities, including details for the low dimensions 2 and 3. Next, it describes how the toric singularities are located within the class of rational singularities, and recalls their main properties. Finally, it focuses, in particular, on a toric version of Reid’s desingularization strat...
متن کاملMinimal Discrepancies of Toric Singularities
The main purpose of this paper is to prove that minimal discrepancies of n-dimensional toric singularities can accumulate only from above and only to minimal discrepancies of toric singularities of dimension less than n. I also prove that some lower-dimensional minimal discrepancies do appear as such limit.
متن کاملInfinitesimal Deformations and Obstructions for Toric Singularities
The obstruction space T 2 and the cup product T 1×T 1 → T 2 are computed for toric singularities.
متن کاملD-brane gauge theories from toric singularities of the form C/Γ and C/Γ
We discuss examples of D-branes probing toric singularities, and the computation of their world-volume gauge theories from the geometric data of the singularities. We consider several such examples of D-branes on partial resolutions of the orbifoldsC3/Z2 × Z2,C 3/Z2 × Z3 and C4/Z2 × Z2 × Z2. Email: [email protected]
متن کاملAll Toric L.C.I.-Singularities Admit Projective Crepant Resolutions
It is known that the underlying spaces of all abelian quotient singularities which are embeddable as complete intersections of hypersurfaces in an affine space can be overall resolved by means of projective torus-equivariant crepant birational morphisms in all dimensions. In the present paper we extend this result to the entire class of toric l.c.i.-singularities. Our proof makes use of Nakajim...
متن کامل