6533b85bfe1ef96bd12ba8fb

RESEARCH PRODUCT

Multiple Points in the Target: The Case of Parameterised Hypersurfaces

Juan J. Nuño-ballesterosDavid Mond

subject

Pure mathematicsMatrix (mathematics)Range (mathematics)Mathematics::Algebraic GeometryMathematics::Commutative AlgebraRelation (database)Dimension (graph theory)Structure (category theory)SheafFocus (optics)Mathematics

description

We focus on parameterised hypersurfaces, and explore the information one can obtain from the matrix of a presentation of the push-forward of the structure sheaf, through the use of Fitting ideals. We show that in a number of cases the spaces defined by the Fitting ideals are Cohen–Macaulay, extending the previously known range. We prove the Milnor–Tjurina relation for parameterised hypersurfaces whose dimension is no greater than two.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-3-030-34440-5_11