His result uses Duke's Equidistribution Theorem and is thus not effective. In this paper, we give an effective proof of Habegger's result assuming thatαis not a singular modulus itself. We give an explicit bound, which depends only onα, on the discriminantΔassociated with a singular ...
These informal notes are an expanded version of lectures on the moduli space of elliptic curves given at Zhejiang University in July, 2008. Their goal is to introduce and motivate basic concepts and constructions (such as orbifolds and stacks) important in the study of moduli spaces of curves ...
The Moduli Space of Curves 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... R Dijkgraaf - Birkh auser, 被引量: 442发表: 1997年 Moduli Spaces of Fivebranes on Elliptic ...
We investigate the geometry of W by using admissible covers to study its slope, genus and components. The results can also be applied to study slopes of effective divisors on the moduli space of genus g curves.doi:10.48550/arXiv.0806.0674Dawei Chen...
The symmetric group S3 acts on X(2) sending λ to the six cross-ratios of the four points 0, 1, λ, ∞, and the quotient X(2)/S3 is the coarse moduli space of elliptic curves. The quotient X(2)/Z2, for Z2⊂S3, is X1(2), the coarse moduli space underlying M1(2). See...
E Getzler, Operads and moduli spaces of genus 0 Riemann surfaces, from "The moduli space of curves" (R Dijkgraaf, C Faber, G van der Geer, editors), Progr. Math. 129, Birkhauser, Boston (1995) 199-230 MRR. Dijkgraaf, Mirror symmetry and elliptic curves, in "The moduli space of ...
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 … On...
we deduce that the expected dimension of the corresponding moduli space of stable maps is (1) vdimM0,1(X,β)=−KX.β= 10,c i=1 ci We have to consider separately the three cases Ti=1,Ti=D a divisor and Ti=point. It is a general fact that Iβ(1)=0 (see for instance [8]...
Hurwitz spaces of quadruple coverings of elliptic curves and the moduli space of abelian threefolds A_3(1,1,4) We prove that the moduli spaces \\(\\mathcal{A}_3(D)\\) of polarized Abelian threefolds with polarizations of types D =(1,1,2),(1,2,2),(1,1,3) or (1,3,3......
Annals of Mathematics Studies(共112册), 这套丛书还有 《Gauss Sums, Kloosterman Sums, and Monodromy Groups》《Combinatorial Group Theory and Topology》《Topics in Harmonic Analysis Related to the Littlewood-Paley Theory.》《Classifying Spaces of Degenerating Polarized Hodge Structures》《Exponential Sums...