Seiberg-Witten invariants and surface singularities.
Seifert n-Manifolds.
Sekiguchi-Suwa theory revisited
We present an account of the construction by S. Sekiguchi and N. Suwa of a cyclic isogeny of affine smooth group schemes unifying the Kummer and Artin-Schreier-Witt isogenies. We complete the construction over an arbitrary base ring. We extend the statements of some results in a form adapted to a further investigation of the models of the group schemes of roots of unity.
Self maps of homogeneous spaces.
Self-adjoint determinantal representations of real plane curves.
Selfdual and non-selfdual 3-dimensional Galois representations
Self-duality equation: Monodromy matrices and algebraic curves
Selfinjective algebras of wild canonical type
We develop the representation theory of selfinjective algebras which admit Galois coverings by the repetitive algebras of algebras whose derived category of bounded complexes of finite-dimensional modules is equivalent to the derived category of coherent sheaves on a weighted projective line with virtual genus greater than one.
Self-intersection of the relative dualizing sheaf on modular curves
Let be an odd and squarefree positive integer divisible by at least two relative prime integers bigger or equal than . Our main theorem is an asymptotic formula solely in terms of for the stable arithmetic self-intersection number of the relative dualizing sheaf for modular curves . From our main theorem we obtain an asymptotic formula for the stable Faltings height of the Jacobian of , and, for sufficiently large , an effective version of Bogomolov’s conjecture for .
Selmer group estimates arising from the existence of canonical subgroups
Selmer groups and Heegner points in anticyclotomic -extensions
Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve.
Semi-abelian Schemes and Heights of Cycles in Moduli Spaces of abelian Varieties
Semialgebraic and semianalytic sets
Semi-algebraic complexity-additive complexity of diagonalization of quadratic forms.
We study matrix calculations such as diagonalization of quadratic forms under the aspect of additive complexity and relate these complexities to the complexity of matrix multiplication. While in Bürgisser et al. (1991) for multiplicative complexity the customary thick path existence argument was sufficient, here for additive complexity we need the more delicate finess of the real spectrum (cf. Bochnak et al. (1987), Becker (1986), Knebusch and Scheiderer (1989)) to obtain a complexity relativization....
Semi-algebraic neighborhoods of closed semi-algebraic sets
Given a closed (not necessarly compact) semi-algebraic set in , we construct a non-negative semi-algebraic function such that and such that for sufficiently small, the inclusion of in is a retraction. As a corollary, we obtain several formulas for the Euler characteristic of .
Semialgebraic Topology Over a Real Closed Field I: Paths and Components in the Set of Rational Points of an Algebraic Variety.
Semialgebraic Topology over a Real Closed Field II: Basic Theory of Semialgebraic Spaces.
Semialgebraicity of certain local loci
Semianalytic and subanalytic sets