Algebra 4

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• F-thresholds of hypersurfaces
• Minimal $γ$--sheaves
• Cartier Modules: finiteness results
• Test ideals via algebras of $p^{-e}$-linear maps
• F-signature of pairs and the asymptotic behavior of Frobenius splittings
• F-singularities via alterations
• $p^{-1}$-linear maps in algebra and geometry
• Cartier Crystals
• Bernstein-Sato polynomials and test modules in positive characteristic
• Stabilization of the cohomology of thickenings
• Functorial Test Modules
• The intersection homology D--module in finite characteristic
• The D-Module structure of R[F]-modules
• The intersection homology D-module in finite characteristic
• Cartier isomorphism for toric varieties
• An informal introduction to multiplier ideals
• On rings with small Hilbert-Kunz multiplicity
• Multiplier Ideals and Modules on Toric Varieties
• Local cohomology multiplicities in in terms of étale cohomolgy
• D-module generation in positive characteristic via Frobenius descent
• Generators of D-modules in positive characteristic
• Lyubeznik's invariants for cohomologically isolated singularities
• A short course on geometric motivic integration
• Characteristic 0 and p analogies, and some motivic cohomology
• Rational Singularities and Rational Points
• Discreteness and rationality of F-thresholds
• Frobenius on the cohomology of thickenings
• Applications of perverse sheaves in commutative algebra
• Minimal γ-sheaves
• Cartier isomorphism for toric varieties
• F-signature of pairs: continuity, p-fractals and minimal log discrepancies
• F-signature of pairs: Continuity, p-fractals and minimal log discrepancies
• F-signature of pairs and the asymptotic behavior of Frobenius splittings
• STABILIZATION OF THE COHOMOLOGY OF THICKENINGS
• F-singularities via alterations
• Frobenius on the Cohomology of Thickenings
• p −1-Linear Maps in Algebra and Geometry
• F-signature of pairs and the asymptotic behavior of Frobenius splittings
• Lyubeznik's invariants for cohomologically isolated singularities
• Functorial test modules
• Bernstein-Sato polynomials and test modules in positive characteristic
• F-singularities via alterations
• On rings with small Hilbert-Kunz multiplicity
• The intersection homology D-module in finite characteristic
• An asymptotic vanishing theorem for the cohomology of thickenings
• Cartier Crystals have finite global dimension
• Local cohomology modules of a smooth (mathbb{Z})-algebra have finitely many associated primes
• F-signature of pairs : continuity, p-fractals and minimal log discrepancies
• p-1-linear maps in algebra and geometry
• Test ideals via algebras of p−e-linear maps
• A short course on geometric motivic integration
• Cartier modules : finiteness results
• Discreteness and rationality of F-jumping numbers on singular varieties
• Discreteness and rationality of F-thresholds
• Rational singularities and rational points
• Minimal gamma-sheaves
• Characteristic 0 and p analogies, and some motivic cohomology
• Generators of D–modules in positive characteristic
• An informal introduction to multiplier ideals
• Multiplier ideals and modules on toric varieties
• The D–module structure of R[F]–modules
• Local cohomology modules of a smooth Z-algebra have finitely many associated primes
• Discreteness and rationality of $F$-jumping numbers on singular varieties
• F-thresholds of hypersurfaces
• Local cohomology multiplicities in terms of étale cohomology
• Intersection homology D-modules in finite characteristic

Teil von

• Algebra