Webof the moduli stack BunG,C of all G-bundles on C (section 5.7). Perhaps contrary to one’s first impression, the stack turns out to be the more accessible of the two objects for this problem. We show that for all i, the variation of mixed Hodge structure associated to Hi(BunG,C) can be built out of the tautological variation Webmoduli stack Ellpp8q. We give a precise formulation in §8 and carry out the proof in §9, …
Section 108.22 (0E73): Stable curves—The Stacks project
Web28 aug. 2024 · A very nice introduction to moduli (stack) of elliptic curves is R. Hain - Lectures on Moduli Space of Elliptic Curves (you find it on arXiv ): it is completed by 100 and more exercises; a brief appendix is devoted to stacks (I suggest to integrate it with Vistoli's lecture notes on stacks ); Web15 nov. 2024 · 4.2. Line bundles and Picard groups of the moduli stack of stable curves. We will first consider some special line bundles on the moduli stack of stable curves $\overline{\mathscr{M}}_{g,n}$, including Hodge bundle, point bundles and boundary divisors, tangent bundle, cotangent bundle and normal bundle. memory foam mattress causing sciatica
Reading program on moduli space of curves - LIU Xiaolong’s …
Web27 aug. 2024 · The aim is to provide a brief introduction to algebraic stacks, and then to … WebThe moduli stack of elliptic curves. Here is what we are going to do: Start with your … Web11 apr. 2024 · We prove the formulae conjectured by the first author for the index of K-theory classes over the moduli stack of algebraic G-bundles on a smooth projective curve. The formulae generalize E. … Expand. 41. Highly Influential. PDF. View 13 excerpts, references background and methods; memory foam mattress chattanooga tn