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 $${\\se}_k(E):=k\\deg E-r\\max\\deg F.$$...
R. Hain. Lectures on moduli spaces of elliptic curves. In Transformation groups and moduli spaces of curves, volume 16 of Adv. Lect. Math. (ALM), pages 95-166. Int. Press, Somerville, MA, 2011.R. M. Hain: Lectures on Moduli Spaces of Elliptic Curves, in Transformation Groups and ...
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 ...
出版社:Princeton University Press 出版年:1985-2-21 页数:532 定价:GBP 75.00 装帧:Paperback 丛书:Annals of Mathematics Studies ISBN:9780691083520 豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 分享到 当前版本有售· ··· 京东商城 998.00...
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 ...
We construct certain rational functions on the moduli stack of Drinfeld shtukas. These rational functions are analogues of modular units for elliptic curves. Their divisors are supported on horocycles. We introduce the notion of toy shtukas, and use their moduli space to describe the space of pr...
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...
Arithmetic Moduli of Elliptic Curves. (AM-108) || Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS N. Katz, B. Mazur: Arithmetic moduli of elliptic curves. Annals of Mathematics Studies 108, Princeton, 1985.KATZ, N., MAZUR, B.: Arithmetic moduli of elliptic curves. Princeton...
We showthat, under certain conditions, the weighted number of preimages of a point inthe target of such a morphism does not depend on the choice of this point. Weequip the moduli spaces of elliptic tropical curves with a structure oftropical orbit space and, using our results on tropical ...
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...