搜索结果: 1-15 共查到“数学 Moduli space”相关记录33条 . 查询时间(0.066 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Homological instability for the moduli space of smooth 4-manifolds
光滑 4-流形模空间 同调不稳定性
2023/5/5
The moduli space of a smooth manifold X is defined to be the classifying space of its diffeomorphism group. Understanding the cohomology group of this space is important because elements in this group...
THE EQUATIONS FOR THE MODULI SPACE OF n POINTS ON THE LINE
MODULI SPACE n POINTS ON THE LINE
2015/10/14
A central question in invariant theory is that of determining the relations among invariants. Geometric invariant theory quotients come with a natural ample line bundle, and hence often a natural proj...
THE MODULI SPACE OF WEIGHTED CONFIGURA TIONS ON PROJECTIVE SPACE
MODULI SPACE WEIGHTED CONFIGURA TIONS PROJECTIVE SPACE
2015/10/14
THE MODULI SPACE OF WEIGHTED CONFIGURA TIONS ON PROJECTIVE SPACE.
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE
MODULI SPACE POLYGONS EUCLIDEAN PLANE
2015/10/14
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE.
AN ANALYTIC CONSTRUCTION OF THE DELIGNE-MUMFORD COMPACTIFICATION OF THE MODULI SPACE OF CURVES
ANALYTIC CONSTRUCTION DELIGNE-MUMFORD COMPACTIFICATION MODULI SPACE OF CURVES
2015/8/26
In 1969, P. Deligne and D. Mumford compactified the modulispace of curves Mg,n. Their compactification Mg,n is a projective algebraic variety, and as such, it has an underlying analytic structure. Alt...
A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into P n
Genus-One Stable Maps Moduli
2015/7/14
We construct a natural smooth compacti cation of the space of smooth genus-one curves with
k distinct points in a projective space. It can be viewed as an analogue of a well-known smooth
compacti ca...
THE MODULI SPACE OF CURVES, DOUBLE HURWITZ NUMBERS, AND FABER’S INTERSECTION NUMBER CONJECTURE
DOUBLE HURWITZ NUMBERS FABER’S INTERSECTION NUMBER CONJECTURE
2015/7/14
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli
space of curves, parametrizing curves expressible as branched covers of P
1 with given ramification...
The moduli space of curves has proven itself a central object in geometry. The past
decade has seen substantial progress in understanding the moduli space of curves, involving ideas, for example, fro...
THE AFFINE STRATIFICATION NUMBER AND THE MODULI SPACE OF CURVES
AFFINE STRATIFICATION NUMBER MODULI SPACE
2015/7/14
One relevant example (Example 4.9) turns out to be a proper integral variety with no
embeddings in a smooth algebraic space. This one-paragraph construction appears to be
simpler and more elementary...
A central question in invariant theory is that of determining the relations among
invariants. Geometric invariant theory quotients come with a natural ample line bundle,
and hence often a natural pr...
Singularities of the moduli space of level curves
Singularities moduli space of level curves Algebraic Geometry
2012/5/9
For a fixed integer l>1, we describe the singular locus of the compactification of the moduli space R_{g,l} of curves of genus g paired with an l-torsion point in their Jacobian. Generalizing previous...
Torelli theorem for the Deligne--Hitchin moduli space, II
Principal bundle Deligne–Hitchin moduli space Higgs bundle vector field
2012/3/1
Let X and X' be compact Riemann surfaces of genus at least three. Let G and G' be nontrivial connected semisimple linear algebraic groups over C. If some components $M_{DH}^d(X,G)$ and $M_{DH}^{d'}(X'...
Modification of the Simpson moduli space M_{3m+1}(P_2) by vector bundles (I)
Modification Simpson moduli space M_{3m+1}(P_2) vector bundles (I)
2011/2/28
We consider the moduli space of stable vector bundles on curves embedded in P2 with Hilbert polynomial 3m+ 1 and construct a compactification of this space by vector bundles. The result fM is a blow u...
Foliations on the moduli space of rank two connections on the projective line minus four points
Painlev´ e VI Representation Fundamental group Logarithmic connection
2011/2/21
We look at natural foliations on the Painlev´e VI moduli space of regular connections of rank 2 on P1−{t1, t2, t3, t4}. These foliations are fibrations,and are interpreted in terms of the ...
Almost-isometry between Teichmüller metric and length-spectra metric on moduli space
Teichm¨uller metric length-spectra metric almost isometry
2011/1/19
We prove an analogue of Farb-Masur’s theorem that the lengthspectra metric on moduli space is “almost isometric” to a simple model V(S) which is induced by the cone metric over the complex of curves. ...