TY - JOUR
T1 - Invariants of non-isolated singularities of hypersurfaces
AU - Svoray, Yotam
N1 - Publisher Copyright:
© 2024 Elsevier B.V.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - In this paper we generalize some results by Siersma, Pellikaan, and de Jong regarding morsifications of singular hypersurfaces whose singular locus is a smooth curve, and present some applications to the study of Yomdin-type isolated singularities. In order to prove these results, we discuss the transversal discriminant of such singularities and how it relates to other algebraic and topological invariants.
AB - In this paper we generalize some results by Siersma, Pellikaan, and de Jong regarding morsifications of singular hypersurfaces whose singular locus is a smooth curve, and present some applications to the study of Yomdin-type isolated singularities. In order to prove these results, we discuss the transversal discriminant of such singularities and how it relates to other algebraic and topological invariants.
UR - http://www.scopus.com/inward/record.url?scp=85183636836&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2024.107617
DO - 10.1016/j.jpaa.2024.107617
M3 - Article
AN - SCOPUS:85183636836
SN - 0022-4049
VL - 228
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 6
M1 - 107617
ER -