Another classification of Incidence Scrolls

Classification of Incidence Scrolls (II)

The aim of this paper is to obtain a classification of the scrolls in Pn which are defined by a one-dimensional family of lines meeting a certain set of linear spaces in Pn, a first classification for genus 0 and 1 is given in paper [1]. These ruled surfaces are called incidence scrolls, and such an indicated set is a base of the incidence scroll. In particular, we compute its degree and genus. For this, we define the fundamental incidence scroll to be the scroll in Pn formed by the lines which meet (2n-3) P{n-2}'s in general position. Then all the others incidence scrolls will be portions of …

Classification of Incidence Scrolls(I)

The aim of this paper is to obtain a classification of scrolls of genus 0 and 1, which are defined by a one-dimensional family of lines meeting a certain set of linear spaces in ${\bf P}^n$. These ruled surfaces will be called incidence scrolls and such a set will be the base of the incidence scroll. Unless otherwise stated, we assume that the base spaces are in general position.

Tropical Incidence Relations, Polytopes, and Concordant Matroids

In this paper, we develop a tropical analog of the classical flag variety that we call the flag Dressian. We find relations, which we call "tropical incidence relations", for when one tropical linear space is contained in another, and show that the flag Dressian is a tropical prevariety. In the case of 2-step flag Dressians, which we call "tropical incidence prevarieties", we find an equivalence between points in this space and induced subdivisions of a hypersimplex, generalizing two parts of an equivalence given by D. Speyer for tropical linear spaces. We attempt to generalize the third part …

关联对应上的上同调特征

Cohomology characters on the incidence correspondence

该论文研究特征p>0时关联对应上的线丛上同调，通过无穷小加厚推导递推公式，得到含截断Schur多项式的上同调特征生成函数，建立与Green-Han-Monsky表示环、Verlinde代数的联系。