[图书][B] Singularities of the minimal model program
J Kollár - 2013 - books.google.com
This book gives a comprehensive treatment of the singularities that appear in the minimal
model program and in the moduli problem for varieties. The study of these singularities and …
model program and in the moduli problem for varieties. The study of these singularities and …
On the three dimensional minimal model program in positive characteristic
Let $ f:(X, B)\to Z $ be a threefold extremal dlt flipping contraction defined over an
algebraically closed field of characteristic $ p> 5$, such that the coefficients of $\{B\} $ are in …
algebraically closed field of characteristic $ p> 5$, such that the coefficients of $\{B\} $ are in …
A characterization of rational singularities in terms of injectivity of Frobenius maps
N Hara - American Journal of Mathematics, 1998 - muse.jhu.edu
The notions of F-rational and F-regular rings are defined via tight closure, which is a closure
operation for ideals in a commutative ring of positive characteristic. The geometric …
operation for ideals in a commutative ring of positive characteristic. The geometric …
On the log minimal model program for threefolds over imperfect fields of characteristic p> 5 p>5
We prove that many of the results of the log minimal model program hold for threefolds over
fields of characteristic p> 5 p>5 which are not necessarily perfect. This includes the …
fields of characteristic p> 5 p>5 which are not necessarily perfect. This includes the …
[PDF][PDF] A survey of test ideals
K Schwede, K Tucker - Progress in commutative algebra, 2012 - library.oapen.org
Test ideals were first introduced by Mel Hochster and Craig Huneke in their celebrated
theory of tight closure, and since their invention have been closely tied to the theory of …
theory of tight closure, and since their invention have been closely tied to the theory of …
[PDF][PDF] Tight closure in equal characteristic zero
M Hochster, C Huneke - preprint, 1999 - dept.math.lsa.umich.edu
TIGHT CLOSURE IN EQUAL CHARACTERISTIC ZERO Page 1 TIGHT CLOSURE IN EQUAL
CHARACTERISTIC ZERO by Melvin Hochster and Craig Huneke Contents PREFACE …
CHARACTERISTIC ZERO by Melvin Hochster and Craig Huneke Contents PREFACE …
[PDF][PDF] Enriques surfaces I
F Cossec, I Dolgachev, C Liedtke - preprint, 2021 - academia.edu
The book gives a contemporary account of the study of the class of projective algebraic
surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years …
surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years …
On the rationality of Kawamata log terminal singularities in positive characteristic
C Hacon, J Witaszek - arXiv preprint arXiv:1706.03204, 2017 - arxiv.org
arXiv:1706.03204v2 [math.AG] 17 Jul 2017 Page 1 arXiv:1706.03204v2 [math.AG] 17 Jul
2017 ON THE RATIONALITY OF KAWAMATA LOG TERMINAL SINGULARITIES IN POSITIVE …
2017 ON THE RATIONALITY OF KAWAMATA LOG TERMINAL SINGULARITIES IN POSITIVE …
A guided tour to normalized volume
A Guided Tour to Normalized Volume Page 1 Progress in Mathematics, Vol. 333, 167–219 A
Guided Tour to Normalized Volume Chi Li, Yuchen Liu and Chenyang Xu Dedicated to Gang …
Guided Tour to Normalized Volume Chi Li, Yuchen Liu and Chenyang Xu Dedicated to Gang …
F-injective singularities are Du Bois
K Schwede - American journal of mathematics, 2009 - muse.jhu.edu
F-injective singularities are Du Bois Page 1 F-injective singularities are Du Bois Karl
Schwede American Journal of Mathematics, Volume 131, Number 2, April 2009, pp. 445-473 …
Schwede American Journal of Mathematics, Volume 131, Number 2, April 2009, pp. 445-473 …