Finite holomorphic pullbacks, Segre numbers, and generic L\^e numbers WVX0T502A1

URI	`m2://res/WVX0T502A1`
Kind	preprint
Creators	Z. Jelonek, V. H. Jorge Perez, R. N. Araújo Dos Santos
Date	2026-10-05
MSC	30-XX, 32-XX, 13-XX
Subjects	arxiv math.CV, arxiv math.AC
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-05
Ids	arXiv 2610.07528

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Lexicographic monotonicity for reduced pullback	statement	theorem 5.1	arxiv
An equality criterion in singular dimension one	statement	theorem 5.5	arxiv
Achilles--Manaresi	statement	theorem 2.1	arxiv
Freeness and primary multiplicity	statement	lemma 3.1	arxiv
Lexicographic comparison with arbitrary ramification	conjecture	conjecture 8.3	arxiv
Cyclic factorization and degrees	statement	lemma 4.1	arxiv
Segre numbers	definition	definition 2.2	arxiv
Cid-Ruiz--Polini--Ulrich	statement	theorem 2.7	arxiv
8HB93GP6DX	statement	theorem 4.5	arxiv
Generic L\^e numbers	definition	definition 2.3	arxiv
A stronger bound for reduced pullback	statement	corollary 4.3	arxiv
Componentwise cases in singular dimension one	statement	corollary 5.6	arxiv
Finite-flat Segre comparison	statement	theorem 3.4	arxiv
Jelonek's isolated-singularity comparison	statement	theorem 4.2	arxiv
A conditional reduction using isolated perturbations	statement	proposition 5.9	arxiv
Componentwise Segre monotonicity	conjecture	conjecture 8.1	arxiv
Equimultiple target in arbitrary singular dimension	statement	theorem 5.3	arxiv
Prepolar values need not be generic values	example	example 7.4	arxiv
A prepolar comparison with zero target excess	statement	corollary 5.11	arxiv
The first possible coefficient under inclusion	statement	lemma 3.6	arxiv
Transversal comparison and pushforward	statement	proposition 6.1	arxiv
An additional condition at the origin	statement	corollary 6.2	arxiv
Independence of a unit factor	statement	lemma 2.6	arxiv
Pullback of Segre cycles	statement	proposition 3.3	arxiv
A non-equimultiple pair with one-dimensional singular locus	example	example 7.3	arxiv
Equivalent generic L\^e formulation	conjecture	conjecture 8.2	arxiv
Degree can occur entirely in the singular direction	example	example 7.2	arxiv
A graph multiplicity bound	statement	lemma 3.2	arxiv
The highest-dimensional singular contribution	statement	proposition 5.2	arxiv
Equimultiple examples in every singular dimension	example	example 7.1	arxiv

Catalogue records

arxiv: 2610.07528 (work)
arxiv_text: 2610.07528 (work)