supported by NSFC Grant(Grant Nos.11890662 and 11831017);supported by NSFC Grant(Grant Nos.12271532 and 11831017);supported by NSFC Grant(Grant No.11831017);Guangdong Introducing Innovative and Enterpreneurial Teams(Grant No.2017ZT07X355);supported by Guangdong Basic and Applied Basic Research Foundation(Grant No.2020A1515010876)。
We propose a conjecture relevant to Galkin’s lower bound conjecture,and verify it for the blow-ups of a four-dimensional quadric at a point or along a projective plane.We also show that Conjecture O holds in these tw...
supported by the National Natural Science Foundation of China under Grant Nos.11271328and 11571338;the Zhejiang Provincial Natural Science Foundation under Grant No.Y7080068
This paper proposes an improved algorithm to construct moving quadrics from moving planes that follow a tensor product surface with no base points, assuming that there are no moving planes of low degree following the ...
The NNSF (19571024) of China ; Hebei Province Education Committee Fund (98103).
By using nondegenerate and degenerate quadrics in projective space over finite fields of characteristic 2, some association schemes were constructed and their parameters were computed by the authors (see Adv. in Math....
Let Fq be a finite field with q elements, where q is a power of an odd prime,In this paperl the authors consider a projective space PG(2v + δ + l, Fq) with dimension 2v + δ + l, partitioned into an affine space AG(2...
Let Fq be a finite field with q elements, where q is a power of a prime, and let AG (n, Fq )be the n-dimensional aftine space over Fq. The set of points (x1, x2
In this letter we assume that F_q is a finite field with q elements, where q is a power of 2. Let N={x^2+x|x∈F_q} and choose a fixed element α of F_q not belonging to N. Theorem 1. Under affine transformations any q...