§ 7. Moduli Space of Curves (a) The Definition In this section we use the word curve to denote a nonsingular projective curve. We also switch freely between the algebraic and the analytic language. We define the moduli space Adg as .hAg :--- { analytic isomorphy classes of Riemann sur...
Mathematics Severi varieties and the moduli space of curves HARVARD UNIVERSITY Joe Harris FedorchukMaksymWe study Severi varieties parameterizing genus curves in a fixed divisor class on a rational surface. Corresponding to every such variety, there is a one-parameter family of genus stable curves ...
Progress in Mathematics(共115册),这套丛书还有 《Noncommutative Functional Calculus》《Cohomological Methods in Homotopy Theory》《Rational Homotopy Theory and Differential Forms》《De Rham Cohomology of Differential Modules on Algebraic Varieties》《Generalized Etale Cohomology Theories》等。 我来说两句 短评...
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:...
This construction can be viewed as a generalization of the Weierstrass cubic and the j-invariant of an elliptic curve to the case g>1. Our main result is that in characteristics different from 2 and 3 our moduli space of non-special curves is isomorphic to the moduli space of minimal A-...
K. Costello, The A-infinity operad and the moduli space of curves, 2004, arXiv: org:math/0402015.Kevin Costello. The A-infinity operad and the moduli space of curves. Preprint, arXiv:math/0402015.K. Costello, "The A-infinity operad and the moduli space of curves", math.AG/0402015....
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...
Dijkgraaf, R.: Mirror Symmetry and Elliptic Curves, the Moduli Space of Curves. Progress in Mathematics, vol. 129, pp. 149–163. Birkhäuser, Boston (1995)M. Kontsevich, Enumeration of rational curves via Torus actions, in "The moduli space of curves", Eds. R. Dijkgraaf, C. ...
Towards an enumerative geometry of the moduli space of curves (1983) by David Mumford Moduli of Elliptic Curves via Twisted Stable Maps(通过扭曲稳定映射的椭圆曲线模量) the topology of higgs bundle moduli spaces:希格斯bundle模空间的拓扑结构 Systematic Social Observation of Public Spaces A New … A...
g,n the moduli space of stable n-pointed genus g complex algebraic curves. Let ψ i be the first Chern class of the line bundle whose fiber over each pointed stable curve is the cotangent line at the i-th marked point. We adopt Witten’s notation in this paper, τ ...