T. Gómez

activity

20132021

most citedMotivic decompositions of moduli spaces of vector bundles on curves

11 citations · 11 across the 4 of their papers we have counts for

collaborators

6 papers

math.AG2021

Comparison of Poisson structures on moduli spaces

Indranil Biswas, Francesco Bottacin, Tomás L. Gómez

Let $X$ be a complex irreducible smooth projective curve, and let $L$ be an algebraic line bundle on $X$ with a nonzero section $σ_{0}$ . Let $M$ denote the moduli…

math.DG2020

Complex Lagrangians in a hyperKaehler manifold and the relative Albanese

Indranil Biswas, Tomás L. Gómez, André Oliveira

Let $M$ be the moduli space of complex Lagrangian submanifolds of a hyperKähler manifold $X$ , and let $ϖ : A \to M$ be the relative Albanese over $…

math.AG2020★ 11 cited

Motivic decompositions of moduli spaces of vector bundles on curves

Tomás L. Gómez, Kyoung-Seog Lee

Let $r \geq 2, d$ be two integers which are coprime to each other. Let $C$ be a smooth projective curve of genus $g \geq 2$ and $M (r, L)$ be the moduli space of rank $r$ stable vect…

math.AG2017

Stability of the Poincaré bundle

Indranil Biswas, Tomás L. Gómez, Norbert Hoffmann

Let X be an irreducible smooth projective curve, of genus at least two, over an algebraically closed field k. Let $M_{G}^{d}$ denote the moduli stack of principal G-bundles o…

math.AG2014

Integrable systems and Torelli theorems for the moduli spaces of parabolic bundles and parabolic Higgs bundles

Indranil Biswas, Tomás L. Gómez, Marina Logares

We prove a Torelli theorem for the moduli space of semistable parabolic Higgs bundles over a smooth complex projective algebraic curve under the assumption that the parabolic weigh…

math.DG2013

Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group

Indranil Biswas, Tomás L. Gómez

We investigate principal $G$ -bundles on a compact Kähler manifold, where $G$ is a complex algebraic group such that the connected component of it containing the identity element is…