Infinitely many associated primes of local cohomology modules of ramified regular local rings
Linquan Ma
TL;DR
This paper constructs examples of ramified regular local rings whose local cohomology modules have infinitely many associated primes and infinite Bass numbers, highlighting complex behaviors in algebraic structures.
Contribution
The paper provides explicit examples demonstrating the existence of local cohomology modules with infinitely many associated primes in ramified regular local rings.
Findings
Existence of local cohomology modules with infinitely many associated primes
Construction of examples with infinite Bass numbers
Insights into the complexity of local cohomology in ramified rings
Abstract
We construct examples of local cohomology modules of ramified regular local rings with infinitely many associated primes and infinite Bass numbers.
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