⌂
→
Knowledge
→
lf
Citation
·
Feedback
·
Hide Menu
Knowledge database
Introduction
Overview
Random
Universe
Knowledge
L-functions
Rational
All
Modular forms
Classical
Maass
Hilbert
Bianchi
Varieties
Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps
Fields
Number fields
$p$-adic fields
Representations
Dirichlet characters
Artin representations
Groups
Galois groups
Sato-Tate groups
Abstract groups
Database
Search
Regex:
Filter
Category:
af(4)
ag(61)
alg(9)
artin(23)
av(66)
belyi(18)
cande(1)
character(42)
clusterpicture(1)
cmf(99)
combin(1)
commensurable(1)
content(4)
crystals(3)
curve(18)
doc(21)
dq(24)
ec(123)
field(2)
g2c(61)
gg(28)
gl2(15)
group(201)
gsp4(1)
hecke_algebra(1)
hgm(27)
hmsurface(18)
intro(7)
lattice(36)
lf(72)
lfunction(70)
lmfdb(2)
lucant(1)
mf(133)
modcurve(74)
modlgal(35)
mot(2)
motives(1)
nf(100)
paramodulargroup(1)
portrait(7)
rcs(145)
repn(3)
ring(23)
sage(3)
sh(2)
shimcurve(15)
specialfunction(3)
st_group(34)
stats(3)
test(3)
upload(2)
users(2)
varieties(1)
zeros(1)
clear category filter
Quality:
Reviewed
:
Beta
:
Type:
Normal
:
Top
:
Bottom
:
Column
:
Search
More
Recently modified knowls
A
lf.family_ambiguity
Ambiguity of a family
lf.associated_inertia
Associated inertia
lf.automorphism_group
Automorphism group of a field extension
B
lf.family_base
Base field of a family of $p$-adic field extensions
D
lf.field.data
Data for a local field
lf.family_varying
Data that varies within families
lf.defining_polynomial
Defining polynomial of a local field
lf.qp
Definition of $\Q_p$
lf.degree
Degree of a local field extension
lf.discriminant_exponent
Discriminant exponent of a local field
lf.discriminant_root_field
Discriminant root field of a local field
E
lf.eisenstein_diagram
Eisenstein diagram
lf.eisenstein_form
Eisenstein form
lf.eisenstein_polynomial
Eisenstein polynomial
F
lf.family_polynomial
Families of extensions of local fields
lf.family_label
Family labels
lf.family_field_count
Field count
lf.search_input
Find a p-adic field
G
lf.galois_invariants
Galois invariants of a local field
lf.galois_mean_slope
Galois mean slope
lf.galois_splitting_model
Galois splitting model of a local field
H
lf.heights
Heights of an extension
lf.herbrand_function
Herbrand function of a family
lf.herbrand_invariant
Herbrand invariant
lf.hidden_slopes
Hidden slopes of an extension
I
lf.indices_of_inseparability
Indices of inseparability
lf.inertia_group
Inertia group
lf.inertia_group_search
Inertia group searching
lf.intermediate_fields
Intermediate fields
lf.galois_closure_invariants
Invariants of the Galois closure
J
lf.jump_set
Jump set
L
lf.field.label
Label for a $p$-adic field
lf.algebra.data
Local algebra
lf.local_field
Local field
lf.invariants
Local field invariants
M
lf.family_mass
Mass of a family
lf.maximal_ideal
Maximal ideal of a local field
lf.means
Means of an extension
N
lf.newton_polygon
Newton polygon of a polynomial
lf.wild_segments
Number of wild segments of a family
P
lf.family_invariants
$p$-adic family invariants
lf.padic_field
$p$-adic field
lf
$p$-adic field (local number field)
lf.family_diagrams
$p$-adic field family diagrams
lf.field_label
p-adic field label
lf.log
$p$-adic logarithm
lf.packet
Packets in a family
R
lf.ramification_index
Ramification index of an extension of $p$-adic fields
lf.ramification_polygon
Ramification polygon
lf.ramification_polygon_display
Ramification polygon diagram
lf.rams
Rams
lf.residual_polynomials
Residual polynomials
lf.residue_field
Residue field
lf.residue_field_degree
Residue field degree of a local field
lf.ring_of_integers
Ring of integers of a local field
lf.root_number
Root number of a local field
lf.roots_of_unity
Roots of unity
S
lf.slope_content
Slope content of an extension of $p$-adic fields
lf.slopes
Slopes
lf.newton_slopes
Slopes of the Newton polygon of a polynomial
lf.herbrand_input
Specifying a Herbrand invariant
lf.subfamily
Subfamily of a family of $p$-adic fields
lf.swan_slopes
Swan slopes
T
lf.tame_degree
Tame degree of a local field extension
lf.unramified_totally_ramified_tower
The canonical tower of a local field
lf.top_slope
Top Artin slope for an extension of local fields
U
lf.unramified_degree
Unramified degree of a local field
lf.unramified_subfield
Unramified subfield
V
lf.visible_slopes
Visible slopes
W
lf.wild_slopes
Wild Artin slopes of a local field
lf.wild_inertia_group
Wild inertia group
lf.wild_inertia_group_search
Wild inertia group search