C. Klapproth

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20212024

n

-exangulated categories

3 citations · 11 across the 7 of their papers we have counts for

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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★ 1 cited

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…

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

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