Injective endomorphisms of algebraic varieties.
Inner metric properties of 2-dimensional semi-algebraic sets.
We consider 2-dimensional semialgebraic topological manifolds from the differentialgeometric point of view. Curvatures at singularities are defined and a Gauss-Bonnet formula holds. Moreover, Aleksandrov's axioms for an intrinsic geometry of surfaces are fulfilled.
Inner projections of algebraic surfaces: a finiteness result.
Inoue-Hirzebruch Surfaces and a Duality of Hyperbolic Unimodular Singularities. I.
Instanton bundles on Fano threefolds
We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.
Instanton invariants of ...P2 via topology.
Instanton moduli as a novel map from tori to K3-surfaces.
Instanton sheaves on complex projective spaces.
We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton sheaves can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of moduli spaces of instanton sheaves.
Instantons on cylindrical manifolds and stable bundles.
Instantons, topological strings, and enumerative geometry.
Integer Points and the Rank of Thue Elliptic Curves.
Integer points on a curve and the plane Jacobian problem
A polynomial map F = (P,Q) ∈ ℤ[x,y]² with Jacobian has a polynomial inverse with integer coefficients if the complex plane curve P = 0 has infinitely many integer points.
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 canonical models of Shimura varieties
The aim of these notes is to provide an introduction to the subject of integral canonical models of Shimura varieties, and then to sketch a proof of the existence of such models for Shimura varieties of Hodge and, more generally, abelian type. For full details the reader is refered to [Ki 3].
Integral closure of modules and Whitney equisingularity.
Integral differentials and Fermat congruences.
Integral formulas for the -equation on complex projective algebraic manifolds
Integral models for moduli spaces of -torsors
Given a finite tame group scheme , we construct compactifications of moduli spaces of -torsors on algebraic varieties, based on a higher-dimensional version of the theory of twisted stable maps to classifying stacks.