Moduli of Vector Bundles on Curves with Parabolic Structures.
Moduli Spaces for Real Algebraic Curves and Real Abelian Varieties.
Moduli spaces of local systems and higher Teichmüller theory
Let G be a split semisimple algebraic group over Q with trivial center. Let S be a compact oriented surface, with or without boundary. We define positive representations of the fundamental group of S to G(R), construct explicitly all positive representations, and prove that they are faithful, discrete, and positive hyperbolic; the moduli space of positive representations is a topologically trivial open domain in the space of all representations. When S have holes, we defined two moduli spaces closely...
Moduli spaces of (semi)stable vector bundles on tree-linke curves.
Moduli spaces of stable pairs and non-abelian zeta functions of curves via wall-crossing
In this paper we study and relate the non-abelian zeta functions introduced by Weng and invariants of the moduli spaces of arbitrary rank stable pairs over curves. We prove a wall-crossing formula for the latter invariants and obtain an explicit formula for these invariants in terms of the motive of a curve. Previously, formulas for these invariants were known only for rank 2 due to Thaddeus and for rank 3 due to Muñoz. Using these results we obtain an explicit formula for the non-abelian zeta functions,...
Moduli-stacks for bundles on semistable curves.
Modulprobleme in der algebraischen Geometrie III
Modultheorie hyperelliptischer Mumfordkurven.
«Monodromie archimédienne» d'une courbe complexe : un appendice à [3]
Monodromy of a class of logarithmic connections on an elliptic curve.
Monoidi del quarto ordine di a curve sottoinsieme intersezione completa
Monomial Buchsbaum ideals in Ipr.
Monomial conjecture and complete intersections.
Monomial Gorenstein Curves in A4 as Set-Theoretic Complete Intersections.
Monopoles and modifications of bundles over elliptic curves.
Monopôles de Seiberg-Witten et conjecture de Thom
Mordell's conjecture over function fields.
Mordell-Weil rank of the jacobians of the curves defined by
Mordell-Weil ranks of families of elliptic curves associated to Pythagorean triples
We study the family of elliptic curves y² = x(x-a²)(x-b²) parametrized by Pythagorean triples (a,b,c). We prove that for a generic triple the lower bound of the rank of the Mordell-Weil group over ℚ is 1, and for some explicitly given infinite family the rank is 2. To each family we attach an elliptic surface fibered over the projective line. We show that the lower bounds for the rank are optimal, in the sense that for each generic fiber of such an elliptic surface its corresponding Mordell-Weil...
Multi-Hamiltonian structures on Beauville's integrable system and its variant.