A note on a quartic with a tacnode and a flexnode
A note on imperfect monomial curves in
A note on k-very ampleness of a bundle on a blown up plane.
A Pieri-type formula for even orthogonal Grassmannians
We study the cohomology ring of the Grassmannian G of isotropic n-subspaces of a complex 2m-dimensional vector space, endowed with a nondegenerate orthogonal form (here 1 ≤ n < m). We state and prove a formula giving the Schubert class decomposition of the cohomology products in H*(G) of general Schubert classes by "special Schubert classes", i.e. the Chern classes of the dual of the tautological vector bundle of rank n on G. We discuss some related properties of reduced decompositions of "barred...
A Pieri-type theorem for Lagrangian and odd Orthogonal Grassmannians.
A Poncelet theorem in space.
A proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformation
The Witten deformation is an analytic method proposed by Witten which, given a Morse function on a smooth compact manifold , allows to prove the Morse inequalities. The aim of this article is to generalise the Witten deformation to stratified Morse functions (in the sense of stratified Morse theory as developed by Goresky and MacPherson) on a singular complex algebraic curve. In a previous article the author developed the Witten deformation for the model of an algebraic curve with cone-like singularities...
A remark on Abhyankar's space lines
A remark on the geometry of elliptic scrolls and bielliptic surfaces.
A remark on the Hodge type of projective varieties of low degree.
A series of smooth irregular varieties in projective space
A Sharp Bound for the Number of Points where a Rank 3 Stable Reflexive Sheaf is not Free.
A souped-up version of Pardini's theorem and its application to funny curves
A Stratification of the Hilbert Scheme of Points in the Projective Plane.
A Theorem on Non-Associative Algebras and its Application to Differential Equations.
A threefold with and
About restricting 2-bundles on IP3 to planes.
Acerca del genero virtual de la superficies algebráicas.
Affine varieties and Lie algebras of vector fields.
Algebraic and symplectic Gromov-Witten invariants coincide
For a complex projective manifold Gromov-Witten invariants can be constructed either algebraically or symplectically. Using the versions of Gromov-Witten theory by Behrend and Fantechi on the algebraic side and by the author on the symplectic side, we prove that both points of view are equivalent