The tautological ring of
We describe the tautological ring of the moduli space of stable -pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra.
The Theorem of Grauert-Mülich-Spindler.
The theorem of matheer on generic projections in the setting of algebraic geometry.
The theorem of the complement for a quasi subanalytic set
Let X ⊂ (ℝⁿ,0) be a germ of a set at the origin. We suppose X is described by a subalgebra, Cₙ(M), of the algebra of germs of functions at the origin (see 2.1). This algebra is quasianalytic. We show that the germ X has almost all the properties of germs of semianalytic sets. Moreover, we study the projections of such germs and prove a version of Gabrielov’s theorem.
The Toda lattice, Dynkin diagrams, singularities and Abelian varieties.
The topological Hawaiian earring group does not embed in the inverse limit of free groups.
The topological nature of algebraic contractions
The topology of a moduli space for linear dynamical systems.
The topology of conjugate varieties.
The topology of rational points.
The Torelli map at the boundary of the Schottky space.
The torsion problem of H.-J. Reiffen and U. Vetter
The torsion subgroup of a family of elliptic curves over the maximal abelian extension of
We determine explicitly the structure of the torsion group over the maximal abelian extension of and over the maximal -cyclotomic extensions of for the family of rational elliptic curves given by , where is an integer.
The trace formula for equivariant D-modules and perverse sheaves.
The transcendence of certain quasi-periods associated with abelian functions in two variables
The transversality of a general translate
The trisecant conjecture.
The trivial locus of an analytic map germ
We prove: For a local analytic family of analytic space germs there is a largest subspace in such that the family is trivial over . Moreover the reduction of equals the germ of those points in for which is isomorphic to the special fibre .
The tropical Grassmannian.
The two faces of the twisted Kummer surface