共查询到20条相似文献,搜索用时 78 毫秒
1.
For a fixed graph H, a graph G is uniquely H-saturated if G does not contain H, but the addition of any edge from [`(G)]{\overline{G}} to G completes exactly one copy of H. Using a combination of algebraic methods and counting arguments, we determine all the uniquely C
4-saturated graphs; there are only ten of them. 相似文献
2.
We study complex analytic properties of the augmented Teichmüller spaces [`(T)]g,n{\overline{\mathcal{T}}_{g,n}} obtained by adding to the classical Teichmüller spaces Tg,n{\mathcal{T}_{g,n}} points corresponding to Riemann surfaces with nodal singularities. Unlike Tg,n{\mathcal{T}_{g,n}}, the space [`(T)]g,n{\overline{\mathcal{T}}_{g,n}} is not a complex manifold (it is not even locally compact). We prove, however, that the quotient of the augmented Teichmüller
space by any finite index subgroup of the Teichmüller modular group has a canonical structure of a complex orbifold. Using
this structure, we construct natural maps from [`(T)]{\overline{\mathcal{T}}} to stacks of admissible coverings of stable Riemann surfaces. This result is important for understanding the cup-product
in stringy orbifold cohomology. We also establish some new technical results from the general theory of orbifolds which may
be of independent interest. 相似文献
3.
On a Riemann surface [`(S)]{\overline{\Sigma}} with smooth boundary, we consider Riemannian metrics conformal to a given background metric. Let κ be a smooth, positive function on [`(S)]{\overline{\Sigma}}. If K denotes the Gauss curvature, then the L
∞-norm of K/κ gives rise to a functional on the space of all admissible metrics. We study minimizers subject to an area constraint. Under
suitable conditions, we construct a minimizer with the property that |K|/κ is constant. The sign of K can change, but this happens only on the nodal set of the solution of a linear partial differential equation. 相似文献
4.
Florian Herzig 《Inventiones Mathematicae》2011,186(2):373-434
Let F be a finite extension of ℚ
p
. Using the mod p Satake transform, we define what it means for an irreducible admissible smooth representation of an F-split p-adic reductive group over
[`( \mathbbF)]p\overline{ \mathbb{F}}_{p} to be supersingular. We then give the classification of irreducible admissible smooth GL
n
(F)-representations over
[`( \mathbbF)]p\overline{ \mathbb{F}}_{p} in terms of supersingular representations. As a consequence we deduce that supersingular is the same as supercuspidal. These results generalise the work of Barthel–Livné for n=2. For general split reductive groups we obtain similar results under stronger hypotheses. 相似文献
5.
Margarida Melo 《Mathematische Zeitschrift》2009,263(4):939-957
We study algebraic (Artin) stacks over [`(M)]g{\overline{\mathcal M}_{g}} giving a functorial way of compactifying the relative degree d Picard variety for families of stable curves. We also describe for every d the locus of genus g stable curves over which we get Deligne–Mumford stacks strongly representable over[`(M)]g{\overline{\mathcal M}_{g}} . 相似文献
6.
We study the singular homology (with field coefficients) of the moduli stack
[`(\mathfrakM)]g, n{\overline{\mathfrak{M}}_{g, n}} of stable n-pointed complex curves of genus g. Each irreducible boundary component of
[`(\mathfrakM)]g, n{\overline{\mathfrak{M}}_{g, n}} determines via the Pontrjagin–Thom construction a map from
[`(\mathfrakM)]g, n{\overline{\mathfrak{M}}_{g, n}} to a certain infinite loop space whose homology is well understood. We show that these maps are surjective on homology in
a range of degrees proportional to the genus. This detects many new torsion classes in the homology of
[`(\mathfrakM)]g, n{\overline{\mathfrak{M}}_{g, n}}. 相似文献
7.
Christian Herrmann 《Algebra Universalis》2009,61(1):1-29
Gel’fand and Ponomarev [11] introduced the concept of perfect elements and constructed such in the free modular lattice on
4 generators. We present an alternative construction of such elements u (linearly equivalent to theirs) and for each u a direct decomposition u, [`(u)]{\bar{u}} of the generating quadruple within the free complemented modular lattice on 4 generators; u, [`(u)]{\bar{u}} are said to form a perfect pair. This builds on [17] and fills a gap left there. We also discuss various notions of perfect
elements and relate them to preprojective and preinjective representations. 相似文献
8.
Let n ≥ 2 be a fixed integer, let q and c be two integers with q > n and (n, q) = (c, q) = 1. For every positive integer a which is coprime with q we denote by [`(a)]c{\overline{a}_{c}} the unique integer satisfying 1 £ [`(a)]c £ q{1\leq\overline{a}_{c} \leq{q}} and a[`(a)]c o c(mod q){a\overline{a}_{c} \equiv{c}({\rm mod}\, q)}. Put
L(q)={a ? Z+: (a,q)=1, n \not| a+[`(a)]c }.L(q)=\{a\in{Z^{+}}: (a,q)=1, n {\not\hskip0.1mm|} a+\overline{a}_{c} \}. 相似文献
9.
Amol Sasane 《Complex Analysis and Operator Theory》2012,6(2):465-475
Let
\mathbb Dn:={z=(z1,?, zn) ? \mathbb Cn:|zj| < 1, j=1,?, n}{\mathbb {D}^n:=\{z=(z_1,\ldots, z_n)\in \mathbb {C}^n:|z_j| < 1, \;j=1,\ldots, n\}}, and let
[`(\mathbbD)]n{\overline{\mathbb{D}}^n} denote its closure in
\mathbb Cn{\mathbb {C}^n}. Consider the ring
|