Indice de Clifford des intersections complètes de l'espace
Indices of double coverings of genus 1 over -adic fields
Inegalite relative des genres.
Infinite Grassmannians and moduli spaces of G-bundles.
Infinite rank of elliptic curves over
If E is an elliptic curve defined over a quadratic field K, and the j-invariant of E is not 0 or 1728, then has infinite rank. If E is an elliptic curve in Legendre form, y² = x(x-1)(x-λ), where ℚ(λ) is a cubic field, then has infinite rank. If λ ∈ K has a minimal polynomial P(x) of degree 4 and v² = P(u) is an elliptic curve of positive rank over ℚ, we prove that y² = x(x-1)(x-λ) has infinite rank over .
Infinitely near imposed singularities and singularities of polar curves.
Inflection points on real plane curves having many pseudo-lines.
Injective endomorphisms of algebraic and analytic sets
We prove that every injective endomorphism of an affine algebraic variety over an algebraically closed field of characteristic zero is an automorphism. We also construct an analytic curve in ℂ⁶ and its holomorphic bijection which is not a biholomorphism.
Injective endomorphisms of algebraic varieties.
Integer points on curves of genus 1
Integrable systems and moduli spaces of rank two vector bundles on a non-hyperelliptic genus 3 curve
We use the methods that were developed by Adler and van Moerbeke to determine explicit equations for a certain moduli space, that was studied by Narasimhan and Ramanan. Stated briefly it is, for a fixed non-hyperelliptic Riemann surface of genus , the moduli space of semi-stable rank two bundles with trivial determinant on . They showed that it can be realized as a projective variety, more precisely as a quartic hypersurface of , whose singular locus is the Kummer variety of . We first construct...
Integrable systems and projective images of Kummer surfaces
Integral differentials and Fermat congruences.
Integral points of abelian varieties over function fields of characteristic zero.
Integral points on abelian surfaces are widely spaced
Integral points on Abelian varieties.
Integral points on elliptic curves defined by simplest cubic fields.
Integrale zweiter Gattung auf Mumfordkurven.
Interpolation p-adique des dérivées logarithmiques et fonctions L p-adiques associées à des courbes elliptiques à multiplication complexe.
Intersection numbers of curves on Hilbert modular surfaces