Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Parameswaran, A. J."'
Let $f : X \rightarrow Y$ be a dominant generically smooth morphism between irreducible smooth projective curves over an algebraically closed field $k$ such that ${\rm Char}(k)> \text{degree}(f)$ if the characteristic of $k$ is nonzero. We prove that
Externí odkaz:
http://arxiv.org/abs/2410.08528
Autor:
Parameswaran, A. J., Pine, Jagadish
We prove the existence of Ulrich bundles on cyclic coverings of $\mathbb{P}^n$ of arbitrary degree $d$. Given a relatively Ulrich bundle on a complete intersection subvariety, we construct a relatively Ulrich bundle on the ambient variety. As an appl
Externí odkaz:
http://arxiv.org/abs/2408.10837
Let $X \subset \mathbb P^3$ be a nonsingular cubic hypersurface. Faenzi (\cite{F}) and later Pons-Llopis and Tonini (\cite{PLT}) have completely characterized ACM line bundles over $X$. As a natural continuation of their study in the non-ACM directio
Externí odkaz:
http://arxiv.org/abs/2408.04464
We give a characterization of genuinely ramified maps of formal orbifolds in the Tannakian framework. In particular we show that a morphism is genuinely ramified if and only if the pullback of every stable bundle remains stable in the orbifold catego
Externí odkaz:
http://arxiv.org/abs/2403.18736
Let $f:X\rightarrow Y$ be a generically smooth morphism between irreducible smooth projective curves over an algebraically closed field of arbitrary characteristic. We prove that the vector bundle $((f_*{\mathcal O}_X)/{\mathcal O}_Y)^*$ is virtually
Externí odkaz:
http://arxiv.org/abs/2403.15231
Let $f : X \rightarrow Y$ be a generically smooth nonconstant morphism between irreducible projective curves, defined over an algebraically closed field, which is \'etale on an open subset of $Y$ that contains both the singular locus of $Y$ and the i
Externí odkaz:
http://arxiv.org/abs/2401.01635
We introduce three notion of tameness of the Nori fundamental group scheme for a normal quasiprojective variety $X$ over an algebraically closed field. It is proved that these three notions agree if $X$ admits a smooth completion with strict normal c
Externí odkaz:
http://arxiv.org/abs/2312.07366
Autor:
Bakshi, Sarjick, Parameswaran, A J
We study maps between projective spaces and flag varieties. Let $G = SL(n,\mathbb{C})$. We show that there is no map from $\mathbb{P}^2$ to full flag variety $G/B$. We classify the minimal parabolic subgroups $P$ for which there is a map from $\mathb
Externí odkaz:
http://arxiv.org/abs/2308.00286
We consider several related examples of Fourier-Mukai transformations involving the quot scheme. A method of showing conservativity of these Fourier-Mukai transformations is described.
Comment: Final version
Comment: Final version
Externí odkaz:
http://arxiv.org/abs/2307.05118
Autor:
Parameswaran, A. J., Upmanyu, Mohit
This paper aims to prove that given a isolated complete intersection singularity, the Milnor number will be bounded by a bound depending only on Tjurina number and dimension of the singularity. The proof uses A$\mathfrak{m}$AC (introduced in arXiv:22
Externí odkaz:
http://arxiv.org/abs/2305.18781