搜索结果: 1-10 共查到“代数几何学 schemes”相关记录10条 . 查询时间(0.089 秒)
Universal covering spaces and fundamental groups in algebraic geometry as schemes
algebraic geometry fundamental groups
2015/7/14
In topology, the notions of the fundamental group
and the universal cover are closely intertwined. By importing
usual notions from topology into the algebraic and arithmetic setting, we construct a ...
The paper was motivated by a question of Vilonen, and the main
results have been used by Mirkovi′c and Vilonen to give a geometric interpretation of the dual group (as a Chevalley group over Z) of a ...
Characteristic classes of Hilbert schemes of points via symmetric products
Hilbert scheme symmetric product generating series power structure Pontrjagin ring motivic exponentiation characteristic classes
2012/4/18
We obtain a formula for the generating series of (the push-forward under the Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the Hilbert schemes of points for a smooth quas...
On a canonical class of Green currents for the unit sections of abelian schemes
unit sections of abelian schemes canonical class of Green currents Algebraic Geometry
2011/9/22
Abstract: We show that on any abelian scheme over a complex quasi-projective smooth variety, there is a Green current for the zero-section, which is axiomatically determined up to $\partial$ and $\bar...
Abstract: We define the notion of normal A-schemes, and approximable A-schemes. Approximable A-schemes inherit many good properties of ordinary schemes. As a consequence, we see that the Zariski-Riema...
On toric schemes
Toric scheme toric variety graded module sheaf cohomology local cohomology
2011/9/6
Abstract: Studying toric varieties from a scheme-theoretical point of view leads to toric schemes, i.e. "toric varieties over arbitrary base rings". It is shown how the base ring affects the geometry ...
VersalDeformations - a package for computing versal deformations and local Hilbert schemes
VersalDeformations local Hilbert schemes versal deformations Algebraic Geometry
2011/9/5
Abstract: We provide an overview of the Macaulay2 package VersalDeformations, which algorithmically computes versal deformations of isolated singularities, as well as local (multi)graded Hilbert schem...
A support theorem for Hilbert schemes of planar curves
Hilbert schemes planar curves Algebraic Geometry
2011/9/5
Abstract: Consider a family of integral complex locally planar curves whose relative Hilbert scheme of points is smooth. The decomposition theorem of Beilinson, Bernstein, and Deligne asserts that the...
Inverse Systems of Zero-dimensional Schemes in P^n
Inverse Systems Zero-dimensional Schemes P^n
2011/8/22
Abstract: The authors construct the global Macaulay inverse system for a zero-dimensional subscheme Z of projective n-space P^n, from the local inverse systems of the irreducible components of Z. This...
Construction of schemes over $F_1$, and over idempotent rings: towards tropical geometry
$F_1$ over idempotent rings towards tropical geometry
2010/11/26
In this paper, we give some categorical description of the general spectrum functor, defining it as an adjoint of a global section functor.The general spectrum functor includes that of F1 and of semir...
