A Generalization of Kodaira-Ramanujam's Vanishing Theorem.
A generalization of Mumford's geometric invariant theory.
A geometric application of Nori’s connectivity theorem
We study (rational) sweeping out of general hypersurfaces by varieties having small moduli spaces. As a consequence, we show that general -trivial hypersurfaces are not rationally swept out by abelian varieties of dimension at least two. As a corollary, we show that Clemens’ conjecture on the finiteness of rational curves of given degree in a general quintic threefold, and Lang’s conjecture saying that such varieties should be rationally swept-out by abelian varieties, contradict.
A geometric description of Hazama's exceptional classes
Sia una varietà abeliana complessa di tipo Mumford. In queste note daremo una descrizione esplicita delle classi eccezionali in trovate da Hazama in [Ha] e le descriveremo geometricamente usando la grassmaniana delle rette di .
A geometric description of the sum of linear series of order two on a curve of genus 2.
A geometrical approach to the theory of Jacobi forms
A Gersten–Witt spectral sequence for regular schemes
A Global Moduli Space of Ample Subvarieties on Compact Kähler Manifolds with Very Strongly Negative Curvature.
A Grothendieck-Riemann-Roch Formula for Maps of Complex Manifolds.
A higher Albanese map for complex threefolds based on a construction by M. Green
We construct a higher Abel-Jacobi map for 0-cycles on complex threefolds and prove that it can be used to describe Mumford's pull-back of a differential form, and that its image is infinite-dimensional in many cases. However, making a certain assumption, we show that it is not always injective.
A Hirzebruch-Riemann-Roch formula for analytic spaces and non-projective algebraic varieties
A Hodge type decomposition for spinor valued forms
A Lefschetz decomposition for Chow motives of abelian schemes.
A look into the Severi varieties of curves in higher codimension.
A minimal Set of Generators for the Ring of multisymmetric Functions
The purpose of this article is to give, for any (commutative) ring , an explicit minimal set of generators for the ring of multisymmetric functions as an -algebra. In characteristic zero, i.e. when is a -algebra, a minimal set of generators has been known since the 19th century. A rather small generating set in the general case has also recently been given by Vaccarino but it is not minimal in general. We also give a sharp degree bound on the generators, improving the degree bound previously...
A motivic isomorphism between two projective homogeneous varieties under the action of a group of type . (Un isomorphisme motivique entre deux variétés homogènes projectives sous l'action d'un groupe de type .)
A new example of a compactification of C3.
A Noether-Lefschetz theorem for vector bundles.
A note on a theorem of Griffiths on the Abel-Jacobi map.
A note on a theorem of Horikawa.
In this paper we classify the algebraic surfaces on C with KS2=4, pg=3 and canonical map of degree d=3. By our result and the previous one of Horikawa (1979) we obtain the complete determination of surfaces with K2=4 and pg=3.