C. Klapproth

most cited

n

-Exact categories arising from

(n + 2)

-angulated categories

3 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.CT2024★ 1 cited

On $n$ -exact categories I: The existence and uniqueness of maximal $n$ -exact structures

Carlo Klapproth

This paper is the first part of a series that investigates the existence of $n$ -exact structures on idempotent complete additive categories for positive integers $n$ . It is shown t…

math.AG2024

Obstructions to semiorthogonal decompositions for singular projective varieties II: Representation theory

Martin Kalck, Carlo Klapproth, Nebojsa Pavic

We show that odd-dimensional projective varieties with tilting objects and only ADE-hypersurface singularities are nodal, i.e. they only have $A_{1}$ -singularities. This is a very sp…

math.RT2021★ 3 cited

$n$ -Exact categories arising from $(n + 2)$ -angulated categories

Carlo Klapproth

Let $F$ be an $(n + 2)$ -angulated Krull-Schmidt category and $A \subset F$ an $n$ -extension closed, additive and full subcategory with $\operatorname{Ho…

On n-exact categories I: The existence and uniqueness of maximal n-exact structures

Obstructions to semiorthogonal decompositions for singular projective varieties II: Representation theory

n-Exact categories arising from (n+2)-angulated categories

On $n$ -exact categories I: The existence and uniqueness of maximal $n$ -exact structures

$n$ -Exact categories arising from $(n + 2)$ -angulated categories