(共115册), 这套丛书还有 《Groupoids, Inverse Semigroups and Their Operator Algebras》《Cohomological and Geometric Approaches to Rationality Problems》《Pseudodifferential Operators and Nonlinear Pde》《Hyperfunctions and Harmonic Analysis on Symmetric Spaces》《Functional Analysis on the Eve of the ...
Mathematics Severi varieties and the moduli space of curves HARVARD UNIVERSITY Joe Harris FedorchukMaksymWe study Severi varieties parameterizing genus curves in a fixed divisor class on a rational surface. Corresponding to every such variety, there is a one-parameter family of genus stable 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 of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from rec...
K. Costello, The A-infinity operad and the moduli space of curves, 2004, arXiv: org:math/0402015.Kevin Costello. The A-infinity operad and the moduli space of curves. Preprint, arXiv:math/0402015.K. Costello, "The A-infinity operad and the moduli space of curves", math.AG/0402015....
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...
1. The cohomology of the moduli space of pointed genus zero curves In this section we discuss the Chow rings of the moduli spaces of n-pointed genus zero curve M0,n. Recall that we are working over the complex numbers C. The cohomology and Chow groups of M0,n turn out to be isomorphi...
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 … A...
curvesofgenuszerocorrespondingtoparticularchambersofstabilitydata playessentialroleincontextofmirrorsymmetry,quantumcohomologyand 1 Frobeniusmanifolds:theweightdataA=(1,1,···,1)givesthewellknown modulispaceofpointedstablecurvesM 0,n studiedin[9,10,11,12,16],and theweightdataA=(1,1,ε,···,ε)...
We determine the cohomology groups of the quartic and hyperelliptic loci inside the moduli space of genus three curves with symplectic level two structure as representations of the symmetric group S_7 together with their mixed Hodge structures by means of making equivariant point counts over finite ...
The moduli space of three qutrit states We study the invariant theory of trilinear forms over a three-dimensional complex vector space, and apply it to investigate the behaviour of pure entangled three-partite qutrit states and their normal forms under...更多>>We study the invariant theory of ...