Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Fassarella, Thiago"'
Autor:
Fassarella, Thiago, Loray, Frank
We look at rank two parabolic Higgs bundles over the projective line minus five points which are semistable with respect to a weight vector $\mu\in[0,1]^5$. The moduli space corresponding to the central weight $\mu_c=(\frac{1}{2}, \dots, \frac{1}{2})
Externí odkaz:
http://arxiv.org/abs/2303.12602
Autor:
Fassarella, Thiago, Loray, Frank
We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic Higgs bundles, under the action of a ramified covering. Given a degree two map $\pi$ : Y $\rightarrow$ X between compact Riemann surfaces, we may pull
Externí odkaz:
http://arxiv.org/abs/2208.10130
Autor:
Fassarella, Thiago, Medeiros, Nivaldo
Given a birational map in the three dimensional projective space defined by monomials of degree $d$, we prove that its inverse is defined by monomials of degree at most $d^2-d+1$.
Comment: 8 pages. Comments welcome
Comment: 8 pages. Comments welcome
Externí odkaz:
http://arxiv.org/abs/2206.04847
Given a hypersurface in a complex projective space, we prove that the multidegrees of its toric polar map agree, up to sign, with the coefficients of the Chern-Schwartz-MacPherson class of a distinguished open set, namely the complement of the union
Externí odkaz:
http://arxiv.org/abs/2205.03957
We describe moduli spaces of logarithmic rank $2$ connections on elliptic curves with $n \geq 1$ poles and generic residues. In particular, we generalize a previous work by the first and second named authors. Our main approach is to analyze the under
Externí odkaz:
http://arxiv.org/abs/2008.11767
Autor:
Fassarella, Thiago, Justo, Luana
Let $C$ be an elliptic curve, $w\in C$, and let $S\subset C$ be a finite subset of cardinality at least $3$. We prove a Torelli type theorem for the moduli space of rank two parabolic vector bundles with determinant line bundle $\mathcal O_C(w)$ over
Externí odkaz:
http://arxiv.org/abs/2008.05229
We provide a classification of developable cubic hypersurfaces in $\mathbb P^4$. Using the correspondence between forms of degree $3$ on $\mathbb P^4$ and Artinian Gorenstein $\mathbb K$-algebras, given by Macaulay-Matlis duality, we describe the loc
Externí odkaz:
http://arxiv.org/abs/2002.08995
Autor:
Fassarella, Thiago, Loray, Frank
Publikováno v:
In Journal of Pure and Applied Algebra December 2023 227(12)
Fix $n\geq 5$ general points $p_1, \dots, p_n\in\mathbb{P}^1$, and a weight vector $\mathcal{A} = (a_{1}, \dots, a_{n})$ of real numbers $0 \leq a_{i} \leq 1$. Consider the moduli space $\mathcal{M}_{\mathcal{A}}$ parametrizing rank two parabolic vec
Externí odkaz:
http://arxiv.org/abs/1902.04136
Autor:
Fassarella, Thiago, Loray, Frank
Publikováno v:
Journal f{\"u}r die reine und angewandte Mathematik, Walter de Gruyter, 2020, 761, pp.81-122
We describe the moduli space of logarithmic rank 2 connections on elliptic curves with 2 poles.
Comment: new version: fixed a sign in Proposition 2.7
Comment: new version: fixed a sign in Proposition 2.7
Externí odkaz:
http://arxiv.org/abs/1707.00820