Zobrazeno 1 - 10
of 100 418
pro vyhledávání: '"mathematics - algebraic geometry"'
Autor:
Furio, Lorenzo
Given an elliptic curve $E$ defined over $\mathbb{Q}$ without complex multiplication, we provide an explicit sharp bound on the index of the image of the adelic Galois representation $\rho_E$. In particular, we show that $[\operatorname{GL}_2(\wideha
Externí odkaz:
http://arxiv.org/abs/2412.10340
Autor:
Bernatska, Julia
A direct analogue of V\'{e}lu's formulas is suggested for a genus two curve. Based on the structure of the differential field of Kleinian $\wp$-functions associated with the curve, formulas for cyclic $n$-isogenies are derived. Parameters of the imag
Externí odkaz:
http://arxiv.org/abs/2412.10284
Autor:
Gardner, Zachary, Madapusi, Keerthi
We use the newly developed stacky prismatic technology of Drinfeld and Bhatt-Lurie to give a uniform, group-theoretic construction of smooth stacks $\mathrm{BT}^{G,\mu}_{n}$ attached to a smooth affine group scheme $G$ over $\mathbb{Z}_p$ and $1$-bou
Externí odkaz:
http://arxiv.org/abs/2412.10226
Autor:
Zhang, Hao
This paper studies the noncommutative singularity theory of the double $A_n$ quiver $Q_n$ (with a single loop at each vertex), with applications to algebraic geometry and representation theory. We give various intrinsic definitions of a Type A potent
Externí odkaz:
http://arxiv.org/abs/2412.10042
Autor:
Yuan, Yao
Let $X$ be a projective smooth surface over $\mathbb{C}$ with $H^2(\mathcal{O}_X)=0$. Let $M=M(L,\chi)$ be the moduli space of 1-dimensional semistable sheaves with determinant $\mathcal{O}_X(L)$ and Euler characteristic $\chi$. We have the Hilbert-C
Externí odkaz:
http://arxiv.org/abs/2412.10013
Autor:
Fu, Lie
Given a smooth compact complex surface together with a holomorphic line bundle on it, using the theory of Hodge modules, we compute the twisted Hodge groups/numbers of Hilbert schemes (or Douady spaces) of points on the surface with values in the nat
Externí odkaz:
http://arxiv.org/abs/2412.09975
Autor:
Sawahara, Masatomo
Let $S$ be a del Pezzo surface with at worst Du Val singularities of degree $2$ such that $S$ admits an $(-K_S)$-polar cylinder. In this article, we construct an $H$-polar cylinder for any ample $\mathbb{Q}$-divisor $H$ on $S$.
Comment: 30 pages
Comment: 30 pages
Externí odkaz:
http://arxiv.org/abs/2412.09848
Autor:
Lekili, Yanki, Tevelev, Jenia
As observed by Kawamata, a $\mathbb{Q}$-Gorenstein smoothing of a Wahl singularity gives rise to a one-parameter flat degeneration of a matrix algebra. A similar result holds for a general smoothing of any two-dimensional cyclic quotient singularity,
Externí odkaz:
http://arxiv.org/abs/2412.09724
We complete the classification of algebraic monoids on the affine 3-space. The result is based on a reduction of the general case to the case of commutative monoids. We describe the structure of the set of idempotents and of the center of each monoid
Externí odkaz:
http://arxiv.org/abs/2412.09559
Autor:
Greene, Joshua Evan, Lobb, Andrew
We prove that for every smooth Jordan curve $\gamma \subset \mathbb{C}$ and for every set $Q \subset \mathbb{C}$ of six concyclic points, there exists a non-constant quadratic polynomial $p \in \mathbb{C}[z]$ such that $p(Q) \subset \gamma$. The proo
Externí odkaz:
http://arxiv.org/abs/2412.09546