25 citations · 67 across the 11 of their papers we have counts for
12 papers
Nakayama algebras and Fuchsian singularities
Helmut Lenzing, Hagen Meltzer, Shiquan Ruan
This present paper is devoted to the study of a class of Nakayama algebras given by the path algebra of the equioriented quiver subject to the nilpotency de…
The algebraic theory of fuchsian singularities
Helmut Lenzing
This article has the following aims: (1) Extend the notion of fuchsian singularities (of first kind) to base fields of arbitrary characteristic. (2) Discuss their relationship to m…
On the K-theory of weighted projective curves
Helmut Lenzing
We present a largely self contained account on the K-theory of a weighted smooth projective curve over an algebraically closed field. In particular, we discuss the weighted version…
Weighted projective lines and Riemann surfaces
Helmut Lenzing
For the base field of complex numbers we discuss the relationship between categories of coherent sheaves on compact Riemann surfaces and categories of coherent sheaves on weighted…
Matrix factorizations for domestic triangle singularities
Dawid Edmund Kędzierski, Helmut Lenzing, Hagen Meltzer
Working over an algebraically closed field of any characteristic, we determine the matrix factorizations for the --- suitably graded --- triangle singularities …
Triangle singularities, ADE-chains, and weighted projective lines
Dirk Kussin, Helmut Lenzing, Hagen Meltzer
We investigate the triangle singularity , or , attached to a weighted projective line given by the weight triple . We investigate the st…