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math.AG2026

New irreducible components of and Computation of the Dimension of its tangent space

Aislan Fontes, Maxwell Santos

We provide a Macaulay2 code for computing the dimension of the tangent space to in certain cases. Using this code, we identify components of $\mathcal{B}(e,c_2…

math.AG2024

Classification of monads and a new moduli component of stable rank 2 bundles on with even determinant and

Aislan Leal Fontes

The goal of this paper is to classify all minimal monads whose cohomology is a stable rank 2 bundle on with Chern classes and , with possible exceptio…

math.AG2024

On Hilbert scheme of complete intersection on the biprojective

Aislan Leal Fontes, Maxwell Paixão

The goal of this paper is to construct the Hilbert scheme of complete intersections in the biprojective space and for this, we define a partial o…

math.AG2018

On the dimension of the stratum of the moduli of pointed curves by Weierstrass gaps

Andre Contiero, Aislan Leal Fontes, Jhon Quispe Vargas

The dimension of the moduli space of smooth pointed curves with prescribed Weierstrass semigroup at the market point is computed for three families of symmetric semigroups of multi…

math.AG2018

On the locus of curves with an odd subcanonical marked point

Andre Contiero, Aislan Leal Fontes

We present an explicit construction of a compactification of the locus of smooth curves whose symmetric Weierstrass semigroup at a marked point is odd. The construction is an exten…