Titlebook: Geometry of Algebraic Curves; Volume II with a con Enrico Arbarello,Maurizio Cornalba,Phillip A. Grif Textbook 2011 Springer-Verlag Berlin

鬼魂

Myosin

Smooth Galois covers of moduli spaces,sible covers, we then treat the quotient representation of the compactified moduli spaces. In this case, in order to prove that the variety . is smooth at points of its boundary, the fundamental tool is the Picard–Lefschetz theory and the study of the local monodromy action.

保留

Intersection theory of tautological classes,of Witten’s conjecture. Following a brief review of equivariant cohomology, we then present Harer and Zagier’s computation of the virtual Euler–Poincaré characteristics of moduli spaces of smooth curves. We end the chapter with a very quick tour of Gromov–Witten invariants.

Diverticulitis

悬崖

Regelung mit einem Integralregler (I)se by interpreting the fundamental constructions of projection and clutching as morphisms of moduli spaces, and by observing that contraction and stabilization give an isomorphism of stacks between . and the “universal curve” . over ..

公司

NICHE

无关紧要

格言

https://doi.org/10.1007/978-3-663-16041-0the action of the Teichmüller modular group. We then extend this decomposition to the bordification of Teichmüller space introduced in Chapter XV. By equivariance, this provides orbicellular decompositions of the moduli spaces of pointed Riemann surfaces and of suitable compactifications.

Herd-Immunity

https://doi.org/10.1007/978-3-322-84987-8omology of moduli of smooth and stable curves. Based on the cellular decomposition, and following Kontsevich, we then give combinatorial expressions for the classes of the point bundles and for a volume form on moduli, which are both of central importance in the next chapter.