Đề tài " The number of extensions of a number field with fixed degree and bounded discriminant " docx
Đề tài " The number of extensions of a number field with fixed degree and bounded discriminant " docx
... (This data was obtained with the commands InvariantRing,
PrimaryInvariants, and SecondaryInvariants in Magma.) One checks that
R = R/f
1
R is an integral domain.
Let S be the subring of
R generated ... field
with fixed degree and bounded discriminant
By Jordan S. Ellenberg and Akshay Venkatesh*
Abstract
We give an upper bound on the number of extensions of a fix...
Đề tài " The two possible values of the chromatic number of a random graph " pot
... Achlioptas and Assaf Naor
Annals of Mathematics, 162 (2005), 1335–1351
The two possible values of the
chromatic number of a random graph
By Dimitris Achlioptas and Assaf Naor*
Abstract
Given ... 63–70.
[2]
N. Alon and M. Krivelevich, The concentration of the chromatic number of random
graphs, Combinatorica 17 (1997), 303–313.
THE CHROMATIC NUMBER OF A...
Tài liệu Đề tài " The equivariant GromovWitten theory of P1 " doc
... together with the global graph constraints. The
result is exactly the µ summand in (1.7) (the edge and graph automorphisms
574 A. OKOUNKOV AND R. PANDHARIPANDE
are incorporated in the prefactors). ... taking, instead of {ψ
k
}
and {ψ
∗
k
}, any linear basis of the space V of creation operators and the cor-
responding dual basis of the space of annihilation...
Đề tài " The stable moduli space of Riemann surfaces: Mumford’s conjecture " ppt
... call them the
constant and linear part of t, respectively. If the linear part of t vanishes,
then the quadratic part of t
u
, which is a quadratic map TE
z
→ R, is again
independent of u. We then ... whose
composition with u is the germ at 0 of a polynomial function t
u
of degree ≤ k
on the vector space TE
z
. The constant part (a real number) and the l...
Đề tài " Ramification theory for varieties over a perfect field " docx
... over a perfect field
By Kazuya Kato and Takeshi Saito
Abstract
For an -adic sheaf on a variety of arbitrary dimension over a perfect
field, we define the Swan class measuring the wild ramification as ... product and alteration (Theorem 3.2.3). The aim of this paper is to
show that the map (0.1) gives generalizations to an arbitrary dimension of the
classical invariants...
Tài liệu Đề tài " The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains " doc
... γ
ε
j
,3
separate Σ
ε
j
,1
and σ
2
.
The next lemma bounds the area of a minimal surface with two sides and
an interior boundary in a small ball in terms of the length of the sides, provided
that the ... function of s, a standard argument then gives
(II.1.16).
Annals of Mathematics
The space of embedded
minimal surfaces of fixed
genus in a 3-man...
Đề tài " The distribution of integers with a divisor in a given interval " ppt
... Institute
of Mathematics and Informatics, Bulgarian Academy of Sciences. Finally, the
author acknowledges the referee for a thorough reading of the paper and for
helpful suggestions.
This work was partially ... lie all above their expected values. An analogy
from probability theory is to ask for the likelihood that a random walk on
the real numbers, with each step ha...
Đề tài " The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks " doc
... of
the set of points of large curvature – the axis of the double spiral staircase.
The reader may find it useful to also look at the survey [CM8] and the
expository article [CM9] for an outline of ... results, and their proofs, and
how these results fit together. The article [CM9] is the best to start with.
*The first author was partially supported by NSF Gran...