Let M g be the moduli space of curves of genus g. If A g is the space of principally polarized d-dimensional abelian varieties then there is a natural morphism j:M g →A g defined by sending a curve to its jacobian. It is a classical problem to give a set of equations for the ...
The moduli space Mg of curves of fixed genus g - that is, the algebraic variety that parametrizes all curves of genus g - is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from rec...
G ] 1 6 F e b 2 0 0 7 Chowgroupsofthemodulispacesofweighted pointedstablecurvesofgenuszero ¨ Ozg¨urCeyhan February2,2008 Abstract ThemodulispaceM A ofweightedpointedstablecurvesofgenus zeroisstratifiedaccordingtothedegenerationtypesofsuchcurves. WeshowthattheChowgroupsofM A aregeneratedbythest...
The first part is dedicated to computations with the mentioned class of iterated integrals on moduli spaces of curves of genus zero. This part alone already serves for the computation of a certain class of integrals, which may appear in various contexts. The second part is dedicated to the ...
arbitrary schemes and show how moduli spaces of pointed curves of genus zero like the Grothendieck-Knudsen moduli spaces $\\overline{M}_{0,n}$ and the Losev-Manin moduli spaces $\\overline{L}_n$ can be interpreted as inverse limits of moduli spaces of representations of certain bipartite ...
In this note, we prove that the Q-Picard group of the moduli space of n-pointed stable curves of genus g over an algebraically closed field is generated by the tautological classes. We also prove that the cycle map to the 2nd etale cohomology group is bi
Structures on the Free Loop Space” Pt2 - Nathalie Wahl 01:01:50 Structures on the Free Loop Space Pt3 - Nathalie Wahl 01:03:28 Sums of Three Squares and Lattice Points on the Sphere - Jean Bourgain 49:43 Super-Approximation and Its Applications - Alireza Salehi Golsefidy 01:00:...
Moduli of Elliptic Curves via Twisted Stable Maps(通过扭曲稳定映射的椭圆曲线模量) 热度: arithemetic moduli of generalized elliptic curves 热度: Riemannian Geometries on Spaces of Plane Curves 热度: QUANTUMCOHOMOLOGYOFMODULISPACESOFGENUSZEROSTABLECURVES ...
Moduli of vector bundlesLet $C$ be an algebraic curve of genus $g\\ge2$. A coherent system on $C$ consists of a pair $(E,V)$, where $E$ is an algebraic vector bundle over $C$ of rank $n$ and degree $d$ and $V$ is a subspace of dimension $k$ of the space of sections...
The moduli space Mg of curves of fixed genus g that is, the algebraic variety that parametrizes all curves of genus g is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent ...