Global Sections of Some Vector Bundles on Kontsevich Moduli Spaces
نویسنده
چکیده
On the Kontsevich moduli space of unpointed stable maps to P1 of genus 0 and degree e, there is a tautological vector bundle of rank e − 1. Global sections of tensor powers of this vector bundle arise when considering holomorphic contravariant tensors on Kontsevich spaces of stable maps to more general projective varieties. The computation of the global sections is reduced to an explicit combinatorial problem.
منابع مشابه
Degeneration of the Strange Duality Map for Symplectic Bundles
Global sections of the line bundles on a moduli space of vector bundles (or, more generally, principal G-bundles) are called generalized theta functions. The dimension of the vector spaces of generalized theta functions is given by the celebrated Verlinde formula. If you compute several Verlinde numbers, you will find that some of them coincide unexpectedly. Behind the coincidence, there is oft...
متن کاملOn Some Moduli Spaces of Stable Vector Bundles on Cubic and Quartic Threefolds
We study certain moduli spaces of stable vector bundles of rank two on cubic and quartic threefolds. In many cases under consideration, it turns out that the moduli space is complete and irreducible and a general member has vanishing intermediate cohomology. In one case, all except one component of the moduli space has such vector bundles.
متن کاملTheta Functions for Sl(n) versus Gl(n)
Over a smooth complex projective curve C of genus g one may consider two types of moduli spaces of vector bundles, M := M(n, d), the moduli space of semistable bundles of rank n and degree d on C, and SM := SM(n, L), the moduli space of those bundles whose determinant is isomorphic to a fixed line bundle L on C. We call the former a full moduli space and the latter a fixed-determinant moduli sp...
متن کاملNotes on algebraic stacks
1 Moduli problems, spaces, and stacks. Vector bundles and K-theory 3 1.1 Some category theory . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Back to moduli spaces . . . . . . . . . . . . . . . . . . . . . . 4 1.3 The way out of the problem . . . . . . . . . . . . . . . . . . . 7 1.4 Algebraic stacks and moduli of vector bundles . . . . . . . . . 7 1.5 K-theory of schemes . . . . . . . . . . ...
متن کاملVerlinde Bundles and Generalized Theta Linear Series
The main purpose of this paper is to provide a new approach to the study of generalized theta linear series on moduli spaces of vector bundles on a smooth complex projective curve X, based on vector bundle techniques on abelian varieties. To this effect we naturally associate to these linear series what will be called the Verlinde vector bundles on the Jacobian of X and make use of some special...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004