搜索结果: 1-7 共查到“代数几何学 p-rank”相关记录7条 . 查询时间(0.015 秒)
DELIGNE PAIRINGS AND FAMILIES OF RANK ONE LOCAL SYSTEMS ON ALGEBRAIC CURVES
DELIGNE PAIRINGS LOCAL SYSTEMS ALGEBRAIC CURVES
2015/12/17
For smooth families of projective algebraic curves, we extend the notion of intersection pairing of metrized line bundles to a pairing on line bundles with flat relative connections. In this setting, ...
Polygons in Minkowski three space and parabolic Higgs bundles of rank two on CP^1
Polygons Minkowski space parabolic bundle Higgs field hyperpolygons
2012/6/29
Consider the moduli space of parabolic Higgs bundles (E,\Phi) of rank two on CP^1 such that the underlying holomorphic vector bundle for the parabolic vector bundle E is trivial. It is equipped with t...
Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface
Moduli space Hilbert scheme abelian surface Bridgeland stability wall crossing projectivity
2011/9/21
Abstract: We compute moduli spaces of Bridgeland stable objects on an irreducible principally polarized complex abelian surface corresponding to twisted ideal sheaves. We use Fourier-Mukai techniques ...
Abstract: Over a scheme with 2 invertible, we show that a vector bundle of rank four has a sub or quotient line bundle if and only if the canonical symmetric bilinear form on its exterior square has a...
Cuspidal plane cuves, syzygies and a bound on the MW-rank
Elliptic threefolds Mordell-Weil rank Alexander polynomials of plane curves
2011/9/1
Abstract: Let $C=Z(f)$ be a reduced plane curve of degree $6k$, with only nodes and ordinary cusps as singularities. Let $I$ be the ideal of the points where $C$ has a cusp. Let $\oplus S(-b_i)\to \op...
On the tensor rank of multiplication in finite extensions of finite fields
finite fields tensor rank of multiplication Algebraic Geometry
2011/8/26
Abstract: In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite fields and we establish new asymptotical and not asymptotical upper bounds abo...
Direct calculation of higher rank invariants of stable pairs using the Joyce machinery of stack functions
higher rank invariants Direct calculation Joyce machinery stack functions
2011/8/23
Abstract: The rank 2 invariants of stable pairs over a Calabi-Yau threefold were computed in (arXiv:1101.2252) using the wall-crossing formula of Joyce-Song and Kontsevich-Soibelman. The computations ...