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Singularities of the dual varieties associated to exterior representations: 1. Dual Grassmannian
Emre Sen
For a given irreducible projective variety , the closure of the set of all hyperplanes containing tangents to is the projectively dual variety . We study the singu…
Weak Exceptional Sequences
Emre Sen
We introduce weak exceptional sequence of modules which can be viewed as another modification of the standard case, different than the works of Igusa-Todorov \cite{Igusa-Todorov} a…
Exceptional Sequences and Idempotent Functions
Emre Sen
We prove that there is a one to one correspondence between the following three sets: idempotent functions on a set of size , complete exceptional sequences of linear radical squ…
Syzygy Filtrations of Cyclic Nakayama Algebras
Emre Sen
For any cyclic Nakayama algebra , we construct \emph{syzygy filtered algebra} which corresponds to various syzygy modules as the name suggests. We prove that…