Alcune proprietà delle varietà algebriche reali
Alexander duality in intersection theory
Algebraic and analytic cohomology of quasiprojective varieties.
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
Algebraic approximation in analytic geometry.
Algebraic approximation of analytic sets definable in an o-minimal structure
Let K,R be an algebraically closed field (of characteristic zero) and a real closed field respectively with K=R(√(-1)). We show that every K-analytic set definable in an o-minimal expansion of R can be locally approximated by a sequence of K-Nash sets.
Algebraic approximation of manifolds and spaces
Algebraic automorphisms of smooth affine surfaces.
Algebraic bounds on analytic multiplier ideals
Given a pseudo-effective divisor we construct the diminished ideal , a “continuous” extension of the asymptotic multiplier ideal for big divisors to the pseudo-effective boundary. Our main theorem shows that for most pseudo-effective divisors the multiplier ideal of the metric of minimal singularities on is contained in . We also characterize abundant divisors using the diminished ideal, indicating that the geometric and analytic information should coincide.
Algebraic cobordism of bundles on varieties
The double point relation defines a natural theory of algebraic cobordism for bundles on varieties. We construct a simple basis (over ) of the corresponding cobordism groups over Spec() for all dimensions of varieties and ranks of bundles. The basis consists of split bundles over products of projective spaces. Moreover, we prove the full theory for bundles on varieties is an extension of scalars of standard algebraic cobordism.
Algebraic complete integrability of an integrable system of Beauville
We show that the Beauville’s integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O’Grady’s construction of a symplectic resolution of the moduli space of sheaves on a K3.
Algebraic covers : field of moduli versus field of definition
Algebraic cycles and Hodge theoretic connectivity.
Algebraic cycles and Hodge theory on generalized Reye congruences
Algebraic cycles and infinite loop spaces.
Algebraic cycles and the classical groups II: quaternionic cycles.
Algebraic cycles and values of L-functions.
Algebraic cycles and vector bundles on real affine threefolds.
Algebraic Cycles as Residues of Meromorphic Forms.
Algebraic cycles, Chow varieties, and Lawson homology