منابع مشابه
Toric singularities revisited
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.
متن کاملOn Classification of Toric Singularities
In 1988 S. Mori, D. Morrison, and I. Morrison published a paper [4] in which they gave a computer-based conjectural classification of four-dimensional terminal cyclic quotient singularities of prime index. This classification was partially proven in 1990 by G. Sankaran (cf. [7]). Basically, the conjecture of [4] says that these singularities form a finite number of series (cf. definition in sec...
متن کاملToric 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 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 کاملThe Resolution of Toric Singularities
Acknowledgements The greatest thanks must go to my supervisor Daniel Chan. Daniel was on leave for 6 months this year, yet he nonetheless committed a lot of time to helping me. His enthusiasm and intelligence is very inspiring. Thanks also to my dear parents, who have supported me all the way through university. Thanks to everyone in the honours room! I appreciated sharing Wirkunggeschicte with...
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: Journal of Algebra
سال: 2006
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2005.05.029