2. Functional algebras: graded algebra, Proj of a finite generated graded algebra, FGA conjecture. Examples: 1-dimensional, 2-dimensional local and global cases, toric situation. 3. Reductions (characteristic 0): divisorial, flipping, and restricted alge-bras, pl flip, reduction to FGA conjecture, 3-fold log flips
We show that given a finitely generated standard graded algebra of dimension d over an infinite fiel...
A ubiquitous observation for finite-dimensional Nichols algebras is that as a graded algebra the Hil...
We introduce perfect resolving algebras and study their fundamental properties. These algebras are b...
FGA algebras were recently introduced by Shokurov [4], who showed that their finite generation in di...
We establish finite generation of certain invariant graded algebras defined on toric log Fano fibrat...
Color poster with text and equations (Spring 2009)The Fundamental Theorem of Finite Dimensional Algr...
AbstractA generalization of the FGLM technique is given to compute Gröbner bases for two-sided ideal...
Differential graded algebras have played an important role in the study of infinite free resolutions...
A generalization of the FGLM technique is given to compute Gröbner bases for two-sided ideals of fre...
A healthy body of evidence says that birational geometry and derived categories are intimately bound...
In this paper we give resolution-based decision procedures for the positive theory of certain finite...
Abstract. We generalize graded Hecke algebras to include a twisting two-cocycle for the associated f...
AbstractWe study F-rationality and F-regularity in diagonal subalgebras of multigraded rings, and us...
AbstractFor a graded algebra A, its jdeg(A) is a global degree that can be used to study issues of c...
summary:We present an algorithm for constructing the free algebra over a given finite partial algebr...
We show that given a finitely generated standard graded algebra of dimension d over an infinite fiel...
A ubiquitous observation for finite-dimensional Nichols algebras is that as a graded algebra the Hil...
We introduce perfect resolving algebras and study their fundamental properties. These algebras are b...
FGA algebras were recently introduced by Shokurov [4], who showed that their finite generation in di...
We establish finite generation of certain invariant graded algebras defined on toric log Fano fibrat...
Color poster with text and equations (Spring 2009)The Fundamental Theorem of Finite Dimensional Algr...
AbstractA generalization of the FGLM technique is given to compute Gröbner bases for two-sided ideal...
Differential graded algebras have played an important role in the study of infinite free resolutions...
A generalization of the FGLM technique is given to compute Gröbner bases for two-sided ideals of fre...
A healthy body of evidence says that birational geometry and derived categories are intimately bound...
In this paper we give resolution-based decision procedures for the positive theory of certain finite...
Abstract. We generalize graded Hecke algebras to include a twisting two-cocycle for the associated f...
AbstractWe study F-rationality and F-regularity in diagonal subalgebras of multigraded rings, and us...
AbstractFor a graded algebra A, its jdeg(A) is a global degree that can be used to study issues of c...
summary:We present an algorithm for constructing the free algebra over a given finite partial algebr...
We show that given a finitely generated standard graded algebra of dimension d over an infinite fiel...
A ubiquitous observation for finite-dimensional Nichols algebras is that as a graded algebra the Hil...
We introduce perfect resolving algebras and study their fundamental properties. These algebras are b...