Moduli of curves

TL;DR: In this article , the authors studied the variation of geometric invariant theory (VGIT) for genus six curves and showed that the k-moduli spaces of these curves give the final several steps in the Hassett-Keel program for genus 6.

TL;DR: In this article, it was shown that after a finite base change every Lefschetz fibration of genus g > 3 curves over a closed oriented surface becomes a finite covering of degree Ω(g 2 + 1) or a family of spheres over a Riemann surface, with a branch locus admitting complex algebraic curves as local models.

TL;DR: In this article, the authors studied the properties of higher twisted Verlinde bundles and showed that their Chern characters can be written in terms of tautological classes, which generalizes the known fact that these bundles have tautologically Chern characters.

TL;DR: In this paper, the authors characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a rational projective surface and prove the invariance of Welschinger's invariant in algebraic geometric category.

TL;DR: In this article, the authors define a parametrized (pseudo holomorphic) J-curve in an almost complex manifold (IS, J) is a holomorphic map of a Riemann surface into Is, say f : (S, J3 ~(V, J).

TL;DR: Weyl as discussed by the authors discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations using basic concepts from algebra, and examines the various properties of the groups.

TL;DR: In this article, the authors implique l'accord avec les conditions generales d'utilisation (http://www.numdam.org/legal.php).