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Let X be an irreducible smooth complex projective curve of genus g > = 4. Fix a line bundle L on X. Let M-Sp (L) be the moduli space of semistable symplectic bundles (E,(sic) : E circle times E -> L) on X, with the symplectic form taking values[...]texto impreso
Let X be an irreducible smooth complex projective curve of genus g ? 4. Let M(r,?) be the moduli space of stable vector bundles E ?? X or rank r and fixed determinant ?.We show that the automorphism group of M(r,?) is generated by automorphisms [...]texto impreso
We show that the Brauer group of the moduli space of stable pairs with ?xed determinant over a curve is zero.texto impreso
Let X be a smooth complete complex toric variety such that the boundary is a simple normal crossing divisor, and let E be a holomorphic vector bundle on X. We prove that the following three statements are equivalent: The holomorphic vector bun[...]texto impreso
Let E be a holomorphic vector bundle over a compact connected Riemann surface X. The vector bundle E admits a holomorphic projective connection if and only if for every holomorphic direct summand F of E of positive rank, the equality degree(E)=r[...]texto impreso
We investigate some topological properties, in particular formality, of compact Sasakian manifolds. Answering some questions raised by Boyer and Galicki, we prove that all higher (than three) Massey products on any compact Sasakian manifold vani[...]texto impreso
We prove that the moduli spaces of framed bundles over a smooth projective curve are rational. We compute the Brauer group of these moduli spaces to be zero under some assumption on the stability parameter.texto impreso
Let X be a smooth complex projective curve of genus g?2. A pair on X is formed by a vector bundle E?X and a global non-zero section ??H 0(E). There is a concept of stability for pairs depending on a real parameter ?, giving rise to moduli spaces[...]texto impreso
Let (X, x0) be any one-pointed compact connected Riemann surface of genus g, with g > 3. Fix two mutually coprime integers r > 1 and d. LetMX denote the moduli space parametrizing all logarithmic SL(r,C)-connections, singular over x0, on vecto[...]texto impreso
Let X be any compact connected Riemann surface of genus g, with g ? 3. For any r ? 2, let denote the moduli space of holomorphic SL(r,?)-connections over X. It is known that the biholomorphism class of the complex variety is independent of the[...]texto impreso
Let X be an irreducible smooth complex projective curve of genus g > = 2, and let x is an element of X be a fixed point. Fix r > 1, and assume that g > 2 if r = 2. A framed bundle is a pair (E, phi), where E is coherent sheaf on X of rank r an[...]
