Segre classes encode essential intersection-theoretic information concerning vector
bundles and embeddings of schemes. In this paper we survey a range of applications of …

The Chern–Schwartz–MacPherson class of a hypersurface in a nonsingular variety may be
computed directly from the Segre class of the Jacobian subscheme of the hypersurface; this …

Let V be a possibly singular scheme-theoretic complete intersection subscheme of P n over
an algebraically closed field of characteristic zero. Using a recent result of Fullwood (“On …

Let X Σ be a smooth complete toric variety defined by a fan Σ and let V= V (I) be a
subscheme of X Σ defined by an ideal I homogeneous with respect to the grading on the …

Segre classes encode essential intersection-theoretic information concerning vector
bundles and embeddings of schemes. In this paper we survey a range of applications of …

For a large class of possibly singular complete intersections we prove a formula for their
Chern-Schwartz-MacPherson classes in terms of a single blowup along a scheme …

For any algebraic scheme $ X $ and every $(n,\mathscr {L})\in\mathbb {Z}\times\text {Pic}(X)
$ we define an associated involution of its Chow group $ A_* X $, and show that certain …

Let XΣ be a complete smooth toric variety of dimension n defined by a fan Σ where all Cartier
divisors in Pic (XΣ) are nef and let V be a subscheme of XΣ. We show a new expression for …

The Chern-Fulton class is a generalization of Chern class to the realm of arbitrary
embeddable schemes. While Chern-Fulton classes are sensitive to non-reduced scheme …

Let V be a possibly singular scheme-theoretic global complete intersection subscheme of P
n and assume that V can be written as the intersection of j hypersurfaces such that the …