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math.AG2026
On the De Rham Cohomology of Zero-Dimensional Schemes
Martin Kreuzer, Le Ngoc Long
The (naive) de Rham cohomology of a zero-dimensional scheme is the homology of the Kähler differential algebra of its coordinate ring, viewed as a complex. Since it is well-known t…
math.AC2026
Graded Algebras over Polynomial Rings
Martin Kreuzer, Lorenzo Robbiano
Given a trivially graded polynomial ring over a field and a positively graded polynomial ring , we study graded rings , wher…