Intersection Numbers of Curves on Hilbert Modular Surfaces and Modular Forms of Nebentypus.
Intersection Numbers of Sections of Elliptic Surfaces.
Intersections of two quadrics and Chatelet surfaces. II.
Intersections of two quadrics and Chatelet surfaces.I.
Intrinsic pseudo-volume forms for logarithmic pairs
We study an adaptation to the logarithmic case of the Kobayashi-Eisenman pseudo-volume form, or rather an adaptation of its variant defined by Claire Voisin, for which she replaces holomorphic maps by holomorphic -correspondences. We define an intrinsic logarithmic pseudo-volume form for every pair consisting of a complex manifold and a normal crossing Weil divisor on , the positive part of which is reduced. We then prove that is generically non-degenerate when is projective and ...
Introducción a la geometría algebraica de trivariedades proyectivas complejas con singularidades ordinarias.
Introduction to actions of algebraic groups
These notes present some fundamental results and examples in the theory of algebraic group actions, with special attention to the topics of geometric invariant theory and of spherical varieties. Their goal is to provide a self-contained introduction to more advanced lectures.
Invariance of Pluri-Genera of a Degenerating Family of Algebraic Surfaces.
Invariant varieties of periodic points for the discrete Euler top.
Inverting Reid's exact plurigenera formula.
Involutions on surfaces with p_g = q = 1.
Ipersuperficie quartiche unirazionali
Irreducibility of the Space of Mathematical Instanton Bundles with Rank 2 and c2 = 4.
Irreducible identity sets for polynomial autormorphisms.
Irregularity fo certain algebraic fiber spaces.
Jacobian discrepancies and rational singularities
Inspired by several works on jet schemes and motivic integration, we consider an extension to singular varieties of the classical definition of discrepancy for morphisms of smooth varieties. The resulting invariant, which we call , is closely related to the jet schemes and the Nash blow-up of the variety. This notion leads to a framework in which adjunction and inversion of adjunction hold in full generality, and several consequences are drawn from these properties. The main result of the paper...
Jumping deformations of complete toric varieties.
K3 fibrations on rigid double octic Calabi-Yau threefolds
We give a description of the Picard group of double octic Calabi-Yau threefolds using a K3 fibration defined by a singular line of the branch octic. In particular, we show that the group is generated by the Picard group of a generic fibre and the subgroup generated by the components of the reducible fibres.
K3 surfaces: moduli spaces and Hilbert schemes.
K3 surfaces with a symplectic automorphism of order 11