Year: 2025
Type: article
Abstract: Let $$\sigma : X\rightarrow \Delta $$ σ : X → Δ be a 1-parameter family of 2-dimensional isolated hypersurface singularities. In this paper, we show that if the Milnor number is constant, then any semistable model, obtained from $$\sigma $$ σ after a sufficiently large base change must satisfy non trivial restrictions. Those restrictions are in terms of the dual complex, Hodge structure, and numerical invariants of the central fibre.
Source: Mathematische Zeitschrift
Author: Marta Aldasoro Rosales
Institution: Basque Center for Applied Mathematics
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Awards: G1480809515, G1633674249, G1855990336, G2026970443, G2262748287, G252352179, G2660406951, G3480869486, G3486192903, G425668148, G51203471, G5199408415, G542055026, G5421974903, G55232499, G5805502524, G6294024929, G6402192417, G686263596, G7084143925, G7361182115, G7436716198, G785050907, G7951220496, G8939903727
OpenAlex ID: W4409229144