Zobrazeno 1 - 10
of 283
pro vyhledávání: '"Jardim, Marcos"'
We introduce a toric version of the sheaf of logarithmic vector fields along a divisor of a simplicial toric variety. The notion is also relevant for algebraically independent families of polynomials in the Cox ring. We provide a generalisation of th
Externí odkaz:
http://arxiv.org/abs/2408.10671
We establish generalizations of Saito's criterion for the freeness of divisors in projective spaces that apply both to sequences of several homogeneous polynomials and to divisors on other complete varieties. As an application, the new criterion is a
Externí odkaz:
http://arxiv.org/abs/2407.14082
Autor:
Fontes, Aislan, Jardim, Marcos
In this paper, we provide a complete classification of the positive minimal monads whose cohomology is a stable rank 2 bundle on $\mathbb{P}^3$ with Chern classes $c_1=-1, c_2=10$ and we prove the existence of a new irreducible component of the modul
Externí odkaz:
http://arxiv.org/abs/2406.19505
Saito gave a nice and efficient criterion to determine whether the module of logarithmic derivation associated with a reduced divisor in a complex variety is free or not. The aim of this note is to propose a new proof of this criterion, in the affine
Externí odkaz:
http://arxiv.org/abs/2402.08305
Autor:
Jardim, Marcos, Muniz, Alan
We study rank-two reflexive sheaves on $\mathbb{P}^3$ with $c_2 =4$, expanding on previous results for $c_2\le3$. We show that every spectrum not previously ruled out is realized. Moreover, moduli spaces are studied and described in detail for $c_1=-
Externí odkaz:
http://arxiv.org/abs/2312.05509
Bourbaki sequences and Bourbaki ideals have been studied by several authors since its inception sixty years ago circa. Generic Bourbaki sequences have been thoroughly examined by the senior author with B. Ulrich and W. Vasconcelos, but due to their n
Externí odkaz:
http://arxiv.org/abs/2308.11467
Instantons, emerged in particle physics, have been intensely studied since the 1970's and had an enormous impact in mathematics since then. In this paper, we focus on one particular way in which mathematical physics has guided the development of alge
Externí odkaz:
http://arxiv.org/abs/2302.00783
Autor:
Comaschi, Gaia, Jardim, Marcos
Generalizing the definitions originally presented by Kuznetsov and Faenzi, we study (possibly non locally free) instanton sheaves of arbitrary rank on Fano threefolds. We classify rank 1 instanton sheaves and describe all curves whose structure sheav
Externí odkaz:
http://arxiv.org/abs/2208.03210
Let $X$ be a smooth projective threefold of Picard number one for which the generalized Bogomlov-Gieseker inequality holds. We characterize the limit Bridgeland semistable objects at large volume in the vertical region of the geometric stability cond
Externí odkaz:
http://arxiv.org/abs/2112.00923
Autor:
Fontes, Aislan, Jardim, Marcos
Publikováno v:
Geometriae Dedicata (2023) 217:21
We propose a three-step program for the classification of stable rank 2 bundles on the projective space $\mathbb{P}^3$ inspired by an article by Hartshorne and Rao. While this classification program has been successfully completed for stable rank 2 b
Externí odkaz:
http://arxiv.org/abs/2111.13086