Let $E$ be a vector bundle of rank $r\\geq 2$ on a smooth projective curve $C$ of genus $g \\geq 2$ over an algebraically closed field $K$ of arbitrary characteristic. For any integer with $1\\le k\\le r-1$ we define $${\\se}_k(E):=k\\deg E-r\\max\\deg F.$$...
The moduli space M(m) defined above is the moduli stack of elliptic curves with a level m structure [19, section 4.2]. The idea is that Γ(m) preserves the level m structure. To gain a bit of intuition, note that for m=2, Γ(2) preserves a choice of spin structure on T2. If...
R. Hain. Lectures on moduli spaces of elliptic curves, 2008.R. M. Hain: Lectures on Moduli Spaces of Elliptic Curves, in Transformation Groups and Moduli Spaces of Curves, Advanced Lectures in Mathematics 16, Higher Education Press (2010)....
2023-12-20 Mumford's formula on the universal Picard stack 01:13:23 2023-12-14 Log intersection theory of the moduli space of curves 01:27:11 2023-12-12 Physical approach to K-theoretic Donaldson invariants 01:20:51 2023-12-01 Toward a generalization of the Witten conjecture from sp...
Annals of Mathematics Studies(共112册), 这套丛书还有 《Seminar on Micro-Local Analysis.》《Surface Area》《Topics in Topology》《Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) (Annals of Mathematics Studies)》《Knot Groups》 等。
The congruence subgroup property for the hyperelliptic modular group : the open surface case Let $\\\cM_{g,n}$ and $\\\cH_{g,n}$, for $2g-2+n>0$, be, respectively, the moduli stack of $n$-pointed, genus $g$ smooth curves and its closed substack c... Boggi,Marco - 《Hiros...
We study the moduli surface for pairs of elliptic curves together with an isomorphism between their N-torsion groups. The Weil pairing gives a "determinant" map from this moduli surface to (Z/N Z)*; its fibers are the components of the surface. We define spaces of modular forms on these ...
In view of the prominent role of the modular curve X0(n) in the study of elliptic curves over Q, it is natural to ask if the restriction to squarefree n is really necessary in order that the moduli stack for 0(n)-structures be a reasonable algebro-geometric object over Z. Let us ...
Moduli spaces of semistable sheaves on singular genus 1 curves is closely related to the study of moduli spaces of Simpson stable sheaves on degenerations of elliptic curves, see recent papers by Hernández Ruipérez,... Daniel Hernández Ruipérez, Ana Cristina López Martín, Darío Sánchez Gó...
arXiv:2002.03417v2 [math.AG] 28 Feb 2020ON THE KODAIRA DIMENSION OF THE MODULI SPACE OFHYPERELLIPTIC CURVES WITH MARKED POINTSIRENE SCHWARZAbstract. It is known that the moduli space H g,n of genus g stable hyperelliptic curveswith n marked points is uniruled for n 6 4g + 5. In this...