搜索结果: 1-9 共查到“代数几何学 the Number”相关记录9条 . 查询时间(0.042 秒)
False Discovery Rates and Copy Number Variation
False discovery rate multiple testing grouped hypotheses
2015/8/20
Copy number changes, the gains and losses of chromosome segments, are a common type
of genetic variation among healthy individuals as well as an important feature in tumor
genomes. Microarray techno...
THE AFFINE STRATIFICATION NUMBER AND THE MODULI SPACE OF CURVES
AFFINE STRATIFICATION NUMBER MODULI SPACE
2015/7/14
One relevant example (Example 4.9) turns out to be a proper integral variety with no
embeddings in a smooth algebraic space. This one-paragraph construction appears to be
simpler and more elementary...
Automorphism groups of Calabi-Yau manifolds of Picard number two
Automorphism groups Calabi-Yau manifolds Picard number two Algebraic Geometry
2012/6/29
We prove that the automorphism group of an odd dimensional Calabi-Yau manifold of Picard number two is always a finite group. This makes a sharp contrast to the automorphism groups of K3 surfaces and ...
A type of the Lefschetz hyperplane section theorem on \Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities
Lefschetz hyperplane section theorem Algebraic Geometry
2011/9/23
Abstract: We prove a type of the Lefschetz hyperplane section theorem on Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities by using some degeneration method. As a byproduct, we obta...
Reflexive polytopes of higher index and the number 12
Reflexive polytopes higher index the number 12 Algebraic Geometry
2011/9/20
Abstract: We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension ...
A Lower Bound for the Number of Group Actions on a Compact Riemann Surface
Riemann surface automorphism signature mapping class group
2011/9/14
Abstract: We prove that the number of distinct group actions on compact Riemann surfaces of a fixed genus $\sigma \geq 2$ is at least quadratic in $\sigma$. We do this through the introduction of a co...
What is the total Betti number of a random real hypersurface?
Betti number random real hypersurface Algebraic Geometry
2011/9/2
Abstract: We bound from above the expected total Betti number of a high degree random real hypersurface in a smooth real projective manifold. This upper bound is deduced from the equirepartition of cr...
The Barth quintic surface has Picard number 41
Picard number 41 Algebraic Geometry Barth quintic surface
2011/9/2
Abstract: This paper investigates a specific smooth quintic surface suggested by Barth for it contains the current record of 75 lines over the complex numbers. Our main incentive is to prove that the ...
Arithmetic of 0-cycles on varieties defined over number fields
zero-cycles Hasse principle weak approximation Brauer-Manin obstruction rationally connected varieties homogeneous spaces
2011/8/30
Abstract: Let $X$ be a rationally connected algebraic variety, defined over a number field $k$. We find a relation between the arithmetic of rational points on $X$ and the arithmetic of zero-cycles. M...