[HTML][HTML] Riemann–Roch like theorem for triangulated categories
I Mori - Journal of Pure and Applied Algebra, 2004 - Elsevier
We will prove a Riemann–Roch like theorem for triangulated categories satisfying Serre
duality. As an application, we will prove Riemann–Roch Theorem and Adjunction Formula …
duality. As an application, we will prove Riemann–Roch Theorem and Adjunction Formula …
Symmetry in the vanishing of Ext over stably symmetric algebras
I Mori - Journal of Algebra, 2007 - Elsevier
A Frobenius algebra over a field k is called symmetric if the Nakayama automorphism is an
inner automorphism. A stably symmetric algebra is defined to be a generalization of a …
inner automorphism. A stably symmetric algebra is defined to be a generalization of a …
[HTML][HTML] Intersection theory over quantum ruled surfaces
I Mori - Journal of Pure and Applied Algebra, 2007 - Elsevier
In this paper, we will extend several results on intersection theory over commutative ruled
surfaces to quantum ruled surfaces. Typically, we define the fiber of a closed point, the quasi …
surfaces to quantum ruled surfaces. Typically, we define the fiber of a closed point, the quasi …
Asymmetry of Ext-groups
I Mori - Journal of Algebra, 2009 - Elsevier
In this paper, we will use techniques of noncommutative projective geometry to construct
examples of algebras R over a field k not satisfying the following two types of symmetric …
examples of algebras R over a field k not satisfying the following two types of symmetric …
[PDF][PDF] SYMMETRY IN THE VANISHING OF EXT-GROUPS
I MORI - ring-theory-japan.com
SYMMETRY IN THE VANISHING OF EXT-GROUPS 1. Motivation Throughout, we always
assume that k is a field, R is a (right and left) no Page 1 SYMMETRY IN THE VANISHING OF …
assume that k is a field, R is a (right and left) no Page 1 SYMMETRY IN THE VANISHING OF …
[引用][C] Statement of Research
A Mohr - austinmohr.com
My expertise falls primarily into the categories of enumerative, probabilistic, and graph
theoretic combinatorics. My undergraduate and master's level study under Dr. Thomas …
theoretic combinatorics. My undergraduate and master's level study under Dr. Thomas …
[PDF][PDF] SERRE DUALITY FOR NONCOMMUTATIVE ALGEBRAS
I MORI - mathsoc.jp
One of the major projects in noncommutative algebraic geometry is to classify
noncommutative curves and noncommutative surfaces [17]. The first half of this article will …
noncommutative curves and noncommutative surfaces [17]. The first half of this article will …
Dualities and intersection multiplicities
AJ Frankild, EB Halvorsen - arXiv preprint arXiv:0705.1253, 2007 - arxiv.org
arXiv:0705.1253v1 [math.AC] 9 May 2007 Page 1 arXiv:0705.1253v1 [math.AC] 9 May 2007
DUALITIES AND INTERSECTION MULTIPLICITIES ANDERS J. FRANKILD AND ESBEN …
DUALITIES AND INTERSECTION MULTIPLICITIES ANDERS J. FRANKILD AND ESBEN …
[PDF][PDF] Intersection multiplicities and Grothendieck spaces
EB Halvorsen - 2007 - noter.math.ku.dk
Intersection multiplicities and Grothendieck spaces Page 1 Intersection multiplicities and
Grothendieck spaces Esben Bistrup Halvorsen PhD dissertation Defense: May 24, 2007 Adviser …
Grothendieck spaces Esben Bistrup Halvorsen PhD dissertation Defense: May 24, 2007 Adviser …