منابع مشابه
Maps into projective spaces
We compute the cohomology of the Picard bundle on the desingularization J̃ d (Y ) of the compactified Jacobian of an irreducible nodal curve Y . We use it to compute the cohomology classes of the Brill–Noether loci in J̃ d (Y ). We show that the moduli space M of morphisms of a fixed degree from Y to a projective space has a smooth compactification. As another application of the cohomology of the...
متن کاملTautological Classes on the Moduli Spaces of Stable Maps to Projective Spaces
We present a localization proof of the fact that the cohomology of the moduli spaces of genus zero stable maps to projective spaces is entirely tautological. In addition, we obtain a description of a Bialynicki-Birula stratification on M0,n(P , d) in the context of Gathmann’s moduli spaces of maps with prescribed contact order to a fixed hyperplane. In our previous paper [O], we introduced the ...
متن کاملSpaces of algebraic maps from real projective spaces into complex projective spaces
We study the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. It was already shown in [1] that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural ‘degree’ filtration approximate closer and closer the homotopy type of the space o...
متن کاملThe Kontsevich Moduli Spaces of Stable Maps
1.1. Preliminaries. We will begin with a detailed study of the Kontsevich moduli spaces of stable maps to P . These spaces can be defined much more generally. However, we will have very little to say about the general situation. We will mostly concentrate on the case of genus zero maps to P . The best introduction to Kont sevich moduli spaces is [FP] where you can find details about the constr...
متن کاملStable Maps of Genus Zero to Flag Spaces
Topological quantum field theory led recently to a spectacular progress in numerical algebraic geometry. It was shown that generating functions of certain charactertistic numbers of modular spaces of stable algebraic curves with labelled points satisfy remarkable differential equations of KP -type (E. Witten, M. Kontsevich). In a later series of developments, this was generalized, partly conjec...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1988
ISSN: 0034-5318
DOI: 10.2977/prims/1195175204