Article
Hodge ideals of free divisors
Author/s | Castaño Domínguez, Alberto
![]() ![]() ![]() ![]() ![]() ![]() ![]() Narváez Macarro, Luis ![]() ![]() ![]() ![]() ![]() ![]() ![]() Sevenheck, Christian |
Department | Universidad de Sevilla. Departamento de Álgebra |
Publication Date | 2022-04-18 |
Deposit Date | 2022-06-17 |
Abstract | We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration steps as submodules of the order filtration ... We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration steps as submodules of the order filtration on a cyclic presentation in terms of a special factor of the Bernstein–Sato polynomial of the divisor and we conjecture a bound for the generating level of the Hodge filtration. Finally, we develop an algorithm to compute Hodge ideals of such divisors and we apply it to some examples. |
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HodgeIdealsFreeDivisors.pdf | 773.2Kb | ![]() | View/ | |